Cremona's table of elliptic curves

124656 = 2⁴ · 3 · 7² · 53

Class	r	Atkin-Lehner	Eigenvalues
124656a (1 curve)	1	2+ 3+ 7+ 53+	2+ 3+  2 7+  3 -5  3  4
Curve Equation t Generators 124656a1 [0,-1,0,-4543492,3387168688] 1 [-211720:9858996:125]
124656b (1 curve)	1	2+ 3+ 7+ 53+	2+ 3+ -2 7+  5 -5  3  0
Curve Equation t Generators 124656b1 [0,-1,0,-5259,117090] 1 [-78:216:1]
124656c (1 curve)	0	2+ 3+ 7+ 53-	2+ 3+ -1 7+ -4  1  6  2
Curve Equation t 124656c1 [0,-1,0,-16,127] 1
124656d (1 curve)	0	2+ 3+ 7+ 53-	2+ 3+  2 7+ -5  1  3  6
Curve Equation t 124656d1 [0,-1,0,-77632,-8267888] 1
124656e (1 curve)	0	2+ 3+ 7+ 53-	2+ 3+ -2 7+  0  1 -2 -5
Curve Equation t 124656e1 [0,-1,0,-145889,21980253] 1
124656f (1 curve)	0	2+ 3+ 7- 53+	2+ 3+  0 7- -1  7  7  2
Curve Equation t 124656f1 [0,-1,0,-32608,-2254832] 1
124656g (1 curve)	2	2+ 3+ 7- 53+	2+ 3+  1 7- -3  0 -6  7
Curve Equation t Generators 124656g1 [0,-1,0,-345,-25227] 1 [68:511:1]&[84:729:1]
124656h (1 curve)	0	2+ 3+ 7- 53+	2+ 3+ -1 7- -3  6 -2 -3
Curve Equation t 124656h1 [0,-1,0,-73761,-9294291] 1
124656i (1 curve)	0	2+ 3+ 7- 53+	2+ 3+  2 7-  3 -3  1  0
Curve Equation t 124656i1 [0,-1,0,-29612,1950768] 1
124656j (1 curve)	0	2+ 3+ 7- 53+	2+ 3+  3 7-  5  4  0 -3
Curve Equation t 124656j1 [0,-1,0,1111,105477] 1
124656k (1 curve)	0	2+ 3+ 7- 53+	2+ 3+ -3 7- -3  4 -2 -5
Curve Equation t 124656k1 [0,-1,0,-1399897,-637076411] 1
124656l (1 curve)	1	2+ 3+ 7- 53-	2+ 3+  0 7-  1  1  7 -4
Curve Equation t Generators 124656l1 [0,-1,0,-8003,178830] 1 [-518:5193:8]
124656m (1 curve)	1	2+ 3+ 7- 53-	2+ 3+  0 7-  3  1  7  8
Curve Equation t Generators 124656m1 [0,-1,0,-268,1744] 1 [16:36:1]
124656n (1 curve)	1	2+ 3+ 7- 53-	2+ 3+ -1 7- -1 -6  0  7
Curve Equation t Generators 124656n1 [0,-1,0,159,477] 1 [12:63:1]
124656o (1 curve)	1	2+ 3+ 7- 53-	2+ 3+ -1 7-  3 -6 -8 -5
Curve Equation t Generators 124656o1 [0,-1,0,-188561,-31460211] 1 [7886884:132315687:12167]
124656p (1 curve)	1	2+ 3+ 7- 53-	2+ 3+  3 7- -3  4 -5  8
Curve Equation t Generators 124656p1 [0,-1,0,747136,23516256] 1 [111620:37292724:1]
124656q (1 curve)	1	2+ 3+ 7- 53-	2+ 3+ -3 7- -2  7  2  2
Curve Equation t Generators 124656q1 [0,-1,0,-212,-1749] 1 [43615:84293:2197]
124656r (1 curve)	1	2+ 3+ 7- 53-	2+ 3+ -3 7-  3 -2 -8  1
Curve Equation t Generators 124656r1 [0,-1,0,8783,-316259] 1 [964:30051:1]
124656s (2 curves)	1	2+ 3+ 7- 53-	2+ 3+ -4 7-  6  0 -2  4
Curve Equation t Generators 124656s1 [0,-1,0,-380,2976] 2 [13:8:1] 124656s2 [0,-1,0,-520,736] 2 [-2:42:1]
124656t (1 curve)	2	2+ 3- 7+ 53+	2+ 3-  0 7+ -1 -7 -7 -2
Curve Equation t Generators 124656t1 [0,1,0,-1597808,776602980] 1 [1192:-23814:1]&[-1418:13896:1]
124656u (1 curve)	0	2+ 3- 7+ 53+	2+ 3- -2 7+  3  3 -1  0
Curve Equation t 124656u1 [0,1,0,-604,-5860] 1
124656v (1 curve)	1	2+ 3- 7+ 53-	2+ 3-  0 7+  1 -1 -7  4
Curve Equation t Generators 124656v1 [0,1,0,-163,-568] 1 [-4:6:1]
124656w (1 curve)	1	2+ 3- 7+ 53-	2+ 3-  0 7+  3 -1 -7 -8
Curve Equation t Generators 124656w1 [0,1,0,-13148,-571908] 1 [-74:36:1]
124656x (1 curve)	1	2+ 3- 7+ 53-	2+ 3-  3 7+ -2 -7 -2 -2
Curve Equation t Generators 124656x1 [0,1,0,-10404,620703] 1 [261:3969:1]
124656y (1 curve)	1	2+ 3- 7- 53+	2+ 3-  1 7-  1 -4 -4 -5
Curve Equation t Generators 124656y1 [0,1,0,-68665,7012067] 1 [86:1323:1]
124656z (1 curve)	1	2+ 3- 7- 53+	2+ 3- -1 7- -3  0  6 -7
Curve Equation t Generators 124656z1 [0,1,0,-16921,8686691] 1 [-82:3087:1]
124656ba (1 curve)	1	2+ 3- 7- 53+	2+ 3-  2 7-  5  5 -3  0
Curve Equation t Generators 124656ba1 [0,1,0,-107,-372] 1 [-8:6:1]
124656bb (1 curve)	1	2+ 3- 7- 53+	2+ 3- -2 7-  3  5 -3 -4
Curve Equation t Generators 124656bb1 [0,1,0,-92724,-9901620] 1 [-186:972:1]
124656bc (4 curves)	1	2+ 3- 7- 53+	2+ 3- -2 7-  4  2  2  4
Curve Equation t Generators 124656bc1 [0,1,0,-604,-163444] 2 [4854343:-228217410:2197] 124656bc2 [0,1,0,-48624,-4101084] 4 [8840:830934:1] 124656bc3 [0,1,0,-89784,3818100] 2 [842:22932:1] 124656bc4 [0,1,0,-775784,-263260908] 2 [6456708:-604555874:729]
124656bd (1 curve)	1	2+ 3- 7- 53+	2+ 3-  3 7- -3 -4  2  5
Curve Equation t Generators 124656bd1 [0,1,0,-28569,1849203] 1 [86:189:1]
124656be (1 curve)	0	2+ 3- 7- 53-	2+ 3-  1 7- -1  6  0 -7
Curve Equation t 124656be1 [0,1,0,7775,-179173] 1
124656bf (1 curve)	0	2+ 3- 7- 53-	2+ 3-  1 7-  3  6  8  5
Curve Equation t 124656bf1 [0,1,0,-9239505,10809331371] 1
124656bg (1 curve)	0	2+ 3- 7- 53-	2+ 3-  1 7- -4 -1 -6 -2
Curve Equation t 124656bg1 [0,1,0,-800,-41973] 1
124656bh (1 curve)	0	2+ 3- 7- 53-	2+ 3- -1 7-  5  0  7 -4
Curve Equation t 124656bh1 [0,1,0,-458656,-120883372] 1
124656bi (1 curve)	0	2+ 3- 7- 53-	2+ 3-  2 7-  0 -1  2  5
Curve Equation t 124656bi1 [0,1,0,-2977,-64933] 1
124656bj (2 curves)	0	2+ 3- 7- 53-	2+ 3-  2 7-  2  6  4  8
Curve Equation t 124656bj1 [0,1,0,-19812,-1573860] 2 124656bj2 [0,1,0,-355952,-81844092] 2
124656bk (4 curves)	0	2+ 3- 7- 53-	2+ 3-  2 7- -4  6 -2 -4
Curve Equation t 124656bk1 [0,1,0,270268,111260988] 2 124656bk2 [0,1,0,-2482552,1288366820] 4 124656bk3 [0,1,0,-10896832,-12595195180] 2 124656bk4 [0,1,0,-38113392,90550747188] 4
124656bl (4 curves)	0	2+ 3- 7- 53-	2+ 3- -2 7- -4  2  6  4
Curve Equation t 124656bl1 [0,1,0,-70919,7242612] 2 124656bl2 [0,1,0,-82924,4611116] 4 124656bl3 [0,1,0,280656,34424676] 4 124656bl4 [0,1,0,-638584,-193426108] 2
124656bm (1 curve)	2	2+ 3- 7- 53-	2+ 3- -2 7- -5 -1 -3 -6
Curve Equation t Generators 124656bm1 [0,1,0,-1584,23652] 1 [18:-36:1]&[-18:216:1]
124656bn (1 curve)	0	2+ 3- 7- 53-	2+ 3-  3 7-  3  2  8 -1
Curve Equation t 124656bn1 [0,1,0,430351,107616123] 1
124656bo (1 curve)	0	2+ 3- 7- 53-	2+ 3-  3 7- -3  2  7  6
Curve Equation t 124656bo1 [0,1,0,-1584,-29772] 1
124656bp (1 curve)	0	2+ 3- 7- 53-	2+ 3- -3 7- -3  4 -4  3
Curve Equation t 124656bp1 [0,1,0,-2417,-49029] 1
124656bq (1 curve)	0	2+ 3- 7- 53-	2+ 3- -3 7- -3 -4  4  3
Curve Equation t 124656bq1 [0,1,0,-81178129937,8902385480971611] 1
124656br (2 curves)	0	2+ 3- 7- 53-	2+ 3-  4 7-  6  0  2 -4
Curve Equation t 124656br1 [0,1,0,-18636,-983508] 2 124656br2 [0,1,0,-25496,-201468] 2
124656bs (1 curve)	0	2+ 3- 7- 53-	2+ 3- -4 7-  5  0 -2  5
Curve Equation t 124656bs1 [0,1,0,-800,12564] 1
124656bt (1 curve)	0	2- 3+ 7+ 53+	2- 3+  2 7+  3 -1  5  2
Curve Equation t 124656bt1 [0,-1,0,-11237,-81948] 1
124656bu (2 curves)	0	2- 3+ 7+ 53+	2- 3+ -3 7+  0  5 -6 -2
Curve Equation t 124656bu1 [0,-1,0,1258,2871] 1 124656bu2 [0,-1,0,-19322,1085379] 1
124656bv (1 curve)	2	2- 3+ 7+ 53+	2- 3+ -4 7+  3 -3 -3  2
Curve Equation t Generators 124656bv1 [0,-1,0,-6680,-109584] 1 [140:1296:1]&[-36:288:1]
124656bw (2 curves)	1	2- 3+ 7- 53+	2- 3+  0 7-  2  4  2 -4
Curve Equation t Generators 124656bw1 [0,-1,0,-47448,-485904] 2 [-4732:103447:64] 124656bw2 [0,-1,0,-486488,130172400] 2 [-211:14946:1]
124656bx (2 curves)	1	2- 3+ 7- 53+	2- 3+  0 7-  4 -6 -2 -4
Curve Equation t Generators 124656bx1 [0,-1,0,-13393,-329300] 2 [2700:140140:1] 124656bx2 [0,-1,0,-97428,11502828] 2 [1258:1715:8]
124656by (1 curve)	1	2- 3+ 7- 53+	2- 3+  0 7- -5  0 -2 -1
Curve Equation t Generators 124656by1 [0,-1,0,1552,-168384] 1 [48:120:1]
124656bz (2 curves)	1	2- 3+ 7- 53+	2- 3+  0 7-  6  4  6 -4
Curve Equation t Generators 124656bz1 [0,-1,0,-30088,-1998800] 2 [-14010828:190247:140608] 124656bz2 [0,-1,0,-30648,-1919952] 2 [-758:2821:8]
124656ca (1 curve)	1	2- 3+ 7- 53+	2- 3+  1 7-  1  2  7  2
Curve Equation t Generators 124656ca1 [0,-1,0,5080,-260112] 1 [44:216:1]
124656cb (1 curve)	1	2- 3+ 7- 53+	2- 3+  1 7-  1 -2 -1 -2
Curve Equation t Generators 124656cb1 [0,-1,0,-29198920,60739042288] 1 [3124:384:1]
124656cc (1 curve)	1	2- 3+ 7- 53+	2- 3+  1 7- -5 -2  2  1
Curve Equation t Generators 124656cc1 [0,-1,0,-1045,62749] 1 [-44:147:1]
124656cd (1 curve)	1	2- 3+ 7- 53+	2- 3+ -1 7- -6 -5 -2  6
Curve Equation t Generators 124656cd1 [0,-1,0,-226,1387] 1 [9:1:1]
124656ce (2 curves)	1	2- 3+ 7- 53+	2- 3+  2 7-  0  4 -2  0
Curve Equation t Generators 124656ce1 [0,-1,0,55648,-6217728] 2 [128:1728:1] 124656ce2 [0,-1,0,-359872,-61731200] 2 [2725:138510:1]
124656cf (1 curve)	1	2- 3+ 7- 53+	2- 3+  2 7-  1 -3  7  2
Curve Equation t Generators 124656cf1 [0,-1,0,-597,3312] 1 [48:288:1]
124656cg (2 curves)	1	2- 3+ 7- 53+	2- 3+  2 7-  2 -2 -8  0
Curve Equation t Generators 124656cg1 [0,-1,0,768,-93120] 2 [1832:78400:1] 124656cg2 [0,-1,0,-26672,-1607808] 2 [-107:98:1]
124656ch (2 curves)	1	2- 3+ 7- 53+	2- 3+  2 7- -2  6  4  8
Curve Equation t Generators 124656ch1 [0,-1,0,3399840288,117240363912960] 2 [53492759982590063576864910634485388266690935230878928321844720312865028667060:58255196166059076625496246315564471808818647359356353425528490380137222250962575:45216788202664496123931531315764424509066251349960017337857819055624512] 124656ch2 [0,-1,0,-25373085152,1245806573031168] 2 [38159596182427397951479677092501050967:5441353749426332664341954010878912311582:725141822104633750281077803400267]
124656ci (4 curves)	1	2- 3+ 7- 53+	2- 3+ -2 7-  4 -2  2  4
Curve Equation t Generators 124656ci1 [0,-1,0,-1489224,-698710032] 2 [29857447373668:913217239846912:15643757501] 124656ci2 [0,-1,0,-1740104,-447027216] 4 [-643225:22303918:1331] 124656ci3 [0,-1,0,5880376,-3312327696] 2 [1998696850306:126348702766385:1211355496] 124656ci4 [0,-1,0,-13374664,18521959408] 2 [1482:44198:1]
124656cj (1 curve)	1	2- 3+ 7- 53+	2- 3+  3 7-  3  4 -6 -1
Curve Equation t Generators 124656cj1 [0,-1,0,-1829,428877] 1 [44:657:1]
124656ck (1 curve)	1	2- 3+ 7- 53+	2- 3+ -3 7-  3 -4  4 -7
Curve Equation t Generators 124656ck1 [0,-1,0,12283,160749] 1 [-86:1323:8]
124656cl (1 curve)	1	2- 3+ 7- 53+	2- 3+  4 7- -5 -5 -1 -2
Curve Equation t Generators 124656cl1 [0,-1,0,-784576,265858048] 1 [352:5760:1]
124656cm (2 curves)	0	2- 3+ 7- 53-	2- 3+  0 7-  2  0 -6 -4
Curve Equation t 124656cm1 [0,-1,0,-308688,63050688] 2 124656cm2 [0,-1,0,-882128,-238349376] 2
124656cn (1 curve)	0	2- 3+ 7- 53-	2- 3+  1 7-  0 -5  2 -6
Curve Equation t 124656cn1 [0,-1,0,11030,-902201] 1
124656co (1 curve)	2	2- 3+ 7- 53-	2- 3+  1 7- -1  0  0  1
Curve Equation t Generators 124656co1 [0,-1,0,38155,-857667] 1 [44:951:1]&[124:2401:1]
124656cp (1 curve)	0	2- 3+ 7- 53-	2- 3+ -1 7-  1  0  4  5
Curve Equation t 124656cp1 [0,-1,0,-3598821,-2691888471] 1
124656cq (1 curve)	0	2- 3+ 7- 53-	2- 3+ -1 7-  1  0  7 -4
Curve Equation t 124656cq1 [0,-1,0,2124624,-1995398208] 1
124656cr (1 curve)	0	2- 3+ 7- 53-	2- 3+ -1 7-  1  4  0  5
Curve Equation t 124656cr1 [0,-1,0,-12021,-1082871] 1
124656cs (1 curve)	2	2- 3+ 7- 53-	2- 3+ -2 7- -1  3 -3 -2
Curve Equation t Generators 124656cs1 [0,-1,0,-464,960] 1 [-22:6:1]&[-8:64:1]
124656ct (1 curve)	0	2- 3+ 7- 53-	2- 3+ -2 7-  3 -5 -7  6
Curve Equation t 124656ct1 [0,-1,0,-220264,-39715472] 1
124656cu (2 curves)	2	2- 3+ 7- 53-	2- 3+ -2 7- -4  0  6 -8
Curve Equation t Generators 124656cu1 [0,-1,0,-101544,16429680] 2 [-327:3816:1]&[-30:4410:1] 124656cu2 [0,-1,0,-1763624,901985904] 2 [-611:41846:1]&[194:23814:1]
124656cv (1 curve)	0	2- 3+ 7- 53-	2- 3+ -2 7- -4  3 -6  7
Curve Equation t 124656cv1 [0,-1,0,-1895189,-1003595235] 1
124656cw (2 curves)	0	2- 3+ 7- 53-	2- 3+ -2 7-  6 -2 -4  0
Curve Equation t 124656cw1 [0,-1,0,16056,793584] 2 124656cw2 [0,-1,0,-93704,7642608] 2
124656cx (1 curve)	0	2- 3+ 7- 53-	2- 3+  3 7-  5  2 -5  6
Curve Equation t 124656cx1 [0,-1,0,-9424,1104832] 1
124656cy (1 curve)	0	2- 3+ 7- 53-	2- 3+ -3 7- -1  6  0  5
Curve Equation t 124656cy1 [0,-1,0,-7317,-398439] 1
124656cz (1 curve)	0	2- 3+ 7- 53-	2- 3+ -4 7-  1  4 -6 -1
Curve Equation t 124656cz1 [0,-1,0,110920,2618736] 1
124656da (1 curve)	1	2- 3- 7+ 53+	2- 3-  1 7+ -6  5  2 -6
Curve Equation t Generators 124656da1 [0,1,0,-11090,-453573] 1 [14463379:27882483:117649]
124656db (1 curve)	1	2- 3- 7+ 53+	2- 3- -2 7+  1  3 -7 -2
Curve Equation t Generators 124656db1 [0,1,0,-29269,-1077490] 1 [-82:882:1]
124656dc (1 curve)	1	2- 3- 7+ 53+	2- 3- -4 7+ -5  5  1  2
Curve Equation t Generators 124656dc1 [0,1,0,-38444240,-91112421996] 1 [-3806:9408:1]
124656dd (1 curve)	0	2- 3- 7+ 53-	2- 3- -1 7+  0  5 -2  6
Curve Equation t 124656dd1 [0,1,0,540454,308374023] 1
124656de (1 curve)	0	2- 3- 7+ 53-	2- 3-  2 7+ -1 -3  3  2
Curve Equation t 124656de1 [0,1,0,-22752,-283788] 1
124656df (1 curve)	0	2- 3- 7+ 53-	2- 3-  2 7+  3  5  7 -6
Curve Equation t 124656df1 [0,1,0,-10792952,13643992788] 1
124656dg (1 curve)	0	2- 3- 7+ 53-	2- 3-  2 7+ -4 -3  6 -7
Curve Equation t 124656dg1 [0,1,0,-38677,2914883] 1
124656dh (2 curves)	0	2- 3- 7- 53+	2- 3-  0 7-  2 -4 -2  4
Curve Equation t 124656dh1 [0,1,0,-968,1140] 2 124656dh2 [0,1,0,-9928,-382348] 2
124656di (2 curves)	0	2- 3- 7- 53+	2- 3-  0 7-  3  4 -6  5
Curve Equation t 124656di1 [0,1,0,-47448,3963924] 1 124656di2 [0,1,0,34872,15785076] 1
124656dj (2 curves)	0	2- 3- 7- 53+	2- 3-  0 7-  6 -4 -6  4
Curve Equation t 124656dj1 [0,1,0,-1474328,688537044] 2 124656dj2 [0,1,0,-1501768,661547060] 2
124656dk (1 curve)	0	2- 3- 7- 53+	2- 3-  1 7- -3  0  0  7
Curve Equation t 124656dk1 [0,1,0,-42205,-3351433] 1
124656dl (1 curve)	0	2- 3- 7- 53+	2- 3-  1 7- -3  6  3 -2
Curve Equation t 124656dl1 [0,1,0,63880,-1483308] 1
124656dm (1 curve)	0	2- 3- 7- 53+	2- 3- -1 7- -1 -4  0  7
Curve Equation t 124656dm1 [0,1,0,-55141,5923091] 1
124656dn (4 curves)	0	2- 3- 7- 53+	2- 3- -2 7-  0 -2 -2  4
Curve Equation t 124656dn1 [0,1,0,-19224,1009812] 2 124656dn2 [0,1,0,-34904,-890604] 4 124656dn3 [0,1,0,129736,-6751788] 2 124656dn4 [0,1,0,-450424,-116405164] 2
124656do (1 curve)	0	2- 3- 7- 53+	2- 3- -2 7-  3  1 -5 -2
Curve Equation t 124656do1 [0,1,0,-550629,29209410] 1
124656dp (2 curves)	0	2- 3- 7- 53+	2- 3-  3 7-  0 -5  6  2
Curve Equation t 124656dp1 [0,1,0,26,-1] 1 124656dp2 [0,1,0,-394,-3277] 1
124656dq (1 curve)	0	2- 3- 7- 53+	2- 3- -3 7-  3 -4  6  1
Curve Equation t 124656dq1 [0,1,0,-37,-1261] 1
124656dr (2 curves)	2	2- 3- 7- 53+	2- 3- -3 7- -3 -2 -6 -1
Curve Equation t Generators 124656dr1 [0,1,0,-11237,474879] 1 [-89:882:1]&[79:294:1] 124656dr2 [0,1,0,59323,1074639] 1 [-5:882:1]&[51:2058:1]
124656ds (1 curve)	0	2- 3- 7- 53+	2- 3-  4 7-  3  3  3 -2
Curve Equation t 124656ds1 [0,1,0,-327336,38241972] 1
124656dt (2 curves)	1	2- 3- 7- 53-	2- 3-  0 7-  2  0  6  4
Curve Equation t Generators 124656dt1 [0,1,0,-15125728,-21596134540] 2 [-164956:1058877:64] 124656dt2 [0,1,0,-43224288,81840284532] 2 [-7089:179046:1]
124656du (1 curve)	1	2- 3- 7- 53-	2- 3-  3 7-  1  4  3 -8
Curve Equation t Generators 124656du1 [0,1,0,-581744,177569748] 1 [436:-2646:1]
124656dv (1 curve)	1	2- 3- 7- 53-	2- 3-  3 7- -1 -6  0 -5
Curve Equation t Generators 124656dv1 [0,1,0,-149,1119] 1 [-5:42:1]

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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