Cremona's table of elliptic curves

124722 = 2 · 3² · 13² · 41

Class	r	Atkin-Lehner	Eigenvalues
124722a (1 curve)	1	2+ 3+ 13+ 41+	2+ 3+  1  2 -1 13+ -3  0
Curve Equation t Generators 124722a1 [1,-1,0,-4987644,4265024336] 1 [1375:1594:1]
124722b (1 curve)	1	2+ 3+ 13+ 41+	2+ 3+  1 -2  1 13+  5  0
Curve Equation t Generators 124722b1 [1,-1,0,-3801264,-2511753984] 1 [-800:4496:1]
124722c (1 curve)	1	2+ 3+ 13+ 41+	2+ 3+  1 -2 -5 13+ -7  0
Curve Equation t Generators 124722c1 [1,-1,0,-234519,43770897] 1 [387:3102:1]
124722d (1 curve)	1	2+ 3+ 13+ 41+	2+ 3+  1  4  4 13+ -1  3
Curve Equation t Generators 124722d1 [1,-1,0,1236,-11088] 1 [4545:33288:125]
124722e (2 curves)	1	2+ 3+ 13+ 41+	2+ 3+ -2 -2  4 13+ -4  6
Curve Equation t Generators 124722e1 [1,-1,0,-4522218,3766818420] 2 [-1953:72717:1] 124722e2 [1,-1,0,-72703578,238624331076] 2 [4920:-2214:1]
124722f (1 curve)	1	2+ 3+ 13+ 41+	2+ 3+ -3  2 -3 13+  7 -4
Curve Equation t Generators 124722f1 [1,-1,0,-32226,-2110744] 1 [322:-4724:1]
124722g (1 curve)	0	2+ 3+ 13- 41+	2+ 3+ -1  4  3 13-  5  6
Curve Equation t 124722g1 [1,-1,0,-38310,-1162316] 1
124722h (1 curve)	2	2+ 3+ 13- 41+	2+ 3+ -1 -4  3 13- -5 -6
Curve Equation t Generators 124722h1 [1,-1,0,-2040,14912] 1 [-32:232:1]&[-16:216:1]
124722i (1 curve)	0	2+ 3- 13+ 41+	2+ 3-  1  1 -2 13+  5  0
Curve Equation t 124722i1 [1,-1,0,-2574324,-1590368688] 1
124722j (1 curve)	0	2+ 3- 13+ 41+	2+ 3- -2 -2 -2 13+ -4  0
Curve Equation t 124722j1 [1,-1,0,-260883,-120977739] 1
124722k (2 curves)	0	2+ 3- 13+ 41+	2+ 3- -2 -2  4 13+  2  0
Curve Equation t 124722k1 [1,-1,0,-690376608,6982130119680] 2 124722k2 [1,-1,0,-689403168,7002800728704] 2
124722l (2 curves)	0	2+ 3- 13+ 41+	2+ 3- -2 -2  4 13+ -4  0
Curve Equation t 124722l1 [1,-1,0,1214487,752234445] 2 124722l2 [1,-1,0,-8763273,7882341741] 2
124722m (2 curves)	0	2+ 3- 13+ 41+	2+ 3- -2 -2 -4 13+  2  8
Curve Equation t 124722m1 [1,-1,0,-101178,-12291980] 2 124722m2 [1,-1,0,-40338,-26978756] 2
124722n (2 curves)	0	2+ 3- 13+ 41+	2+ 3- -2  4 -2 13+  2 -6
Curve Equation t 124722n1 [1,-1,0,-2313,-21735] 2 124722n2 [1,-1,0,-17523,881739] 2
124722o (2 curves)	0	2+ 3- 13+ 41+	2+ 3-  3 -2 -6 13+ -3 -5
Curve Equation t 124722o1 [1,-1,0,-2313,-140373] 1 124722o2 [1,-1,0,20502,3487212] 1
124722p (2 curves)	1	2+ 3- 13+ 41-	2+ 3-  0 -1 -6 13+  6  8
Curve Equation t Generators 124722p1 [1,-1,0,14418,-90180] 1 [127:1880:1] 124722p2 [1,-1,0,-183312,33247098] 3 [253:1610:1]
124722q (1 curve)	1	2+ 3- 13+ 41-	2+ 3-  0  5  0 13+  4  8
Curve Equation t Generators 124722q1 [1,-1,0,-395082,95681470] 1 [2886:-811:8]
124722r (1 curve)	1	2+ 3- 13+ 41-	2+ 3-  1 -3  6 13+ -3 -4
Curve Equation t Generators 124722r1 [1,-1,0,-827709,676445381] 1 [725:21016:1]
124722s (1 curve)	1	2+ 3- 13+ 41-	2+ 3- -1  2  3 13+  3 -4
Curve Equation t Generators 124722s1 [1,-1,0,-50985,-4201443] 1 [-146:411:1]
124722t (1 curve)	1	2+ 3- 13+ 41-	2+ 3-  2 -1  2 13+  4 -6
Curve Equation t Generators 124722t1 [1,-1,0,729,-572675] 1 [153:1685:1]
124722u (1 curve)	1	2+ 3- 13+ 41-	2+ 3-  3  2  2 13+ -5  1
Curve Equation t Generators 124722u1 [1,-1,0,-63153,6290077] 1 [167:533:1]
124722v (1 curve)	1	2+ 3- 13+ 41-	2+ 3-  3  2 -3 13+ -5 -4
Curve Equation t Generators 124722v1 [1,-1,0,-13812993,-6241466867] 1 [500398:124675615:8]
124722w (1 curve)	1	2+ 3- 13+ 41-	2+ 3-  4 -3  0 13+  0 -4
Curve Equation t Generators 124722w1 [1,-1,0,-4380,-110512] 1 [395947:954959:4913]
124722x (1 curve)	1	2+ 3- 13- 41+	2+ 3- -1  1  0 13-  5  0
Curve Equation t Generators 124722x1 [1,-1,0,-104220,-15069326] 1 [1069698:4547593:2744]
124722y (1 curve)	1	2+ 3- 13- 41+	2+ 3- -4  4  0 13- -4 -6
Curve Equation t Generators 124722y1 [1,-1,0,-61168509,184152325189] 1 [4170:37643:1]
124722z (1 curve)	0	2+ 3- 13- 41-	2+ 3-  0  4  4 13-  0 -6
Curve Equation t 124722z1 [1,-1,0,-207,-6291] 1
124722ba (1 curve)	2	2+ 3- 13- 41-	2+ 3- -3  0 -3 13- -3 -6
Curve Equation t Generators 124722ba1 [1,-1,0,-57771,5317573] 1 [413:6989:1]&[14:2117:1]
124722bb (1 curve)	0	2+ 3- 13- 41-	2+ 3- -3  4 -5 13- -3  6
Curve Equation t 124722bb1 [1,-1,0,-736956,39297636] 1
124722bc (1 curve)	1	2- 3+ 13+ 41-	2- 3+ -1  2  1 13+  3  0
Curve Equation t Generators 124722bc1 [1,-1,1,-554183,-157779137] 1 [3091:164750:1]
124722bd (1 curve)	1	2- 3+ 13+ 41-	2- 3+ -1 -2 -1 13+ -5  0
Curve Equation t Generators 124722bd1 [1,-1,1,-34211378,67851568945] 1 [1505:139855:1]
124722be (1 curve)	1	2- 3+ 13+ 41-	2- 3+ -1 -2  5 13+  7  0
Curve Equation t Generators 124722be1 [1,-1,1,-2110673,-1179703547] 1 [267542:48745081:8]
124722bf (1 curve)	1	2- 3+ 13+ 41-	2- 3+ -1  4 -4 13+  1  3
Curve Equation t Generators 124722bf1 [1,-1,1,11122,288253] 1 [91:1385:1]
124722bg (2 curves)	1	2- 3+ 13+ 41-	2- 3+  2 -2 -4 13+  4  6
Curve Equation t Generators 124722bg1 [1,-1,1,-40699964,-101663397377] 2 [289150433:104628325105:2197] 124722bg2 [1,-1,1,-654332204,-6442202606849] 2 [4717730286481355:1680870007567473373:35578826569]
124722bh (1 curve)	1	2- 3+ 13+ 41-	2- 3+  3  2  3 13+ -7 -4
Curve Equation t Generators 124722bh1 [1,-1,1,-3581,79369] 1 [158:931:8]
124722bi (1 curve)	0	2- 3+ 13- 41-	2- 3+  1  4 -3 13- -5  6
Curve Equation t 124722bi1 [1,-1,1,-344792,31727323] 1
124722bj (1 curve)	2	2- 3+ 13- 41-	2- 3+  1 -4 -3 13-  5 -6
Curve Equation t Generators 124722bj1 [1,-1,1,-227,-477] 1 [23:66:1]&[-7:30:1]
124722bk (2 curves)	1	2- 3- 13+ 41+	2- 3-  0  1  6 13+  6 -8
Curve Equation t Generators 124722bk1 [1,-1,1,85,-61] 1 [1:4:1] 124722bk2 [1,-1,1,-1085,15383] 1 [-226:1319:8]
124722bl (1 curve)	1	2- 3- 13+ 41+	2- 3-  0 -5  0 13+  4 -8
Curve Equation t Generators 124722bl1 [1,-1,1,-66768890,210011882955] 1 [83764809930:86970838077:17984728]
124722bm (1 curve)	1	2- 3- 13+ 41+	2- 3-  1 -2  2 13+ -7 -7
Curve Equation t Generators 124722bm1 [1,-1,1,-410702,101438133] 1 [287:2529:1]
124722bn (1 curve)	1	2- 3- 13+ 41+	2- 3-  1 -2 -5 13+  7  0
Curve Equation t Generators 124722bn1 [1,-1,1,-45569220872,-3744151838783157] 1 [-42239701:39346623:343]
124722bo (1 curve)	1	2- 3- 13+ 41+	2- 3-  1  4 -1 13+ -7  8
Curve Equation t Generators 124722bo1 [1,-1,1,-98897,-1533567] 1 [-133:3108:1]
124722bp (1 curve)	1	2- 3- 13+ 41+	2- 3-  2  2 -2 13+  0  0
Curve Equation t Generators 124722bp1 [1,-1,1,-1153964,485186095] 1 [725:5045:1]
124722bq (1 curve)	1	2- 3- 13+ 41+	2- 3- -2  1 -2 13+  4  6
Curve Equation t Generators 124722bq1 [1,-1,1,123169,-1257797433] 1 [1275:30518:1]
124722br (1 curve)	1	2- 3- 13+ 41+	2- 3- -3  0  1 13+  3  4
Curve Equation t Generators 124722br1 [1,-1,1,-1219874,-508820191] 1 [-627:3355:1]
124722bs (1 curve)	1	2- 3- 13+ 41+	2- 3- -4  3  0 13+  0  4
Curve Equation t Generators 124722bs1 [1,-1,1,-740252,-245015585] 1 [2561:119761:1]
124722bt (2 curves)	0	2- 3- 13+ 41-	2- 3-  1  2  2 13+  7 -5
Curve Equation t 124722bt1 [1,-1,1,-266207,1651057607] 1 124722bt2 [1,-1,1,-881472767,10073281336967] 1
124722bu (4 curves)	0	2- 3- 13+ 41-	2- 3- -2  0  0 13+  6  8
Curve Equation t 124722bu1 [1,-1,1,-252011,-46196549] 2 124722bu2 [1,-1,1,-738731,186455611] 4 124722bu3 [1,-1,1,1755709,1173256075] 2 124722bu4 [1,-1,1,-11020691,14083552747] 2
124722bv (4 curves)	0	2- 3- 13+ 41-	2- 3- -2 -4 -4 13+ -2  4
Curve Equation t 124722bv1 [1,-1,1,-13721,-574999] 2 124722bv2 [1,-1,1,-44141,2892881] 4 124722bv3 [1,-1,1,92749,17184197] 2 124722bv4 [1,-1,1,-667751,210180845] 2
124722bw (1 curve)	0	2- 3- 13- 41+	2- 3-  0 -4 -4 13-  0  6
Curve Equation t 124722bw1 [1,-1,1,-35015,-13926337] 1
124722bx (1 curve)	0	2- 3- 13- 41+	2- 3-  3  0  3 13- -3  6
Curve Equation t 124722bx1 [1,-1,1,-9763331,11653417923] 1
124722by (1 curve)	0	2- 3- 13- 41+	2- 3-  3 -4  5 13- -3 -6
Curve Equation t 124722by1 [1,-1,1,-4361,18893] 1
124722bz (1 curve)	1	2- 3- 13- 41-	2- 3-  1 -1  0 13-  5  0
Curve Equation t Generators 124722bz1 [1,-1,1,-617,-6717] 1 [9258:40685:216]
124722ca (1 curve)	1	2- 3- 13- 41-	2- 3-  4 -4  0 13- -4  6
Curve Equation t Generators 124722ca1 [1,-1,1,-10337478053,404551646006109] 1 [1581213:1010920:27]

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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