Cremona's table of elliptic curves

56350 = 2 · 5² · 7² · 23

Class	r	Atkin-Lehner	Eigenvalues
56350a (2 curves)	0	2+ 5+ 7+ 23-	2+  2 5+ 7+  6  4 -3  2
Curve Equation t 56350a1 [1,1,0,-18400,1560000] 1 56350a2 [1,1,0,153100,-27080500] 1
56350b (2 curves)	0	2+ 5+ 7- 23+	2+  0 5+ 7- -2  0  2  0
Curve Equation t 56350b1 [1,-1,0,-1650917,-269457259] 2 56350b2 [1,-1,0,6189083,-2096177259] 2
56350c (2 curves)	0	2+ 5+ 7- 23+	2+  0 5+ 7-  4  4  2 -8
Curve Equation t 56350c1 [1,-1,0,-149417,22225741] 2 56350c2 [1,-1,0,-2389417,1422225741] 2
56350d (2 curves)	0	2+ 5+ 7- 23+	2+  0 5+ 7-  4 -4 -2  8
Curve Equation t 56350d1 [1,-1,0,-7321442,-7608786284] 2 56350d2 [1,-1,0,-117081442,-487589266284] 2
56350e (1 curve)	0	2+ 5+ 7- 23+	2+  1 5+ 7- -5  2 -5 -5
Curve Equation t 56350e1 [1,0,1,-1179701,-1187617952] 1
56350f (2 curves)	0	2+ 5+ 7- 23+	2+  2 5+ 7-  6 -4 -2 -4
Curve Equation t 56350f1 [1,1,0,-4925,-124375] 2 56350f2 [1,1,0,-17175,720875] 2
56350g (2 curves)	0	2+ 5+ 7- 23+	2+ -2 5+ 7- -2 -4 -2  4
Curve Equation t 56350g1 [1,0,1,-11172026,-13775468052] 2 56350g2 [1,0,1,-30772026,47768531948] 2
56350h (2 curves)	2	2+ 5+ 7- 23+	2+ -2 5+ 7- -2 -4 -6  0
Curve Equation t Generators 56350h1 [1,0,1,-17176,-223002] 2 [-108:666:1]&[-87:827:1] 56350h2 [1,0,1,-213176,-37855002] 2 [-268:346:1]&[-262:302:1]
56350i (4 curves)	0	2+ 5+ 7- 23+	2+ -2 5+ 7- -6 -4  6 -8
Curve Equation t 56350i1 [1,0,1,-2255251,-1298203602] 2 56350i2 [1,0,1,-3480251,267346398] 2 56350i3 [1,0,1,-12961751,17023435398] 2 56350i4 [1,0,1,-204368001,1124499997898] 2
56350j (4 curves)	1	2+ 5+ 7- 23-	2+  0 5+ 7-  0 -6 -2  4
Curve Equation t Generators 56350j1 [1,-1,0,-364667,42672741] 2 [-186:10293:1] 56350j2 [1,-1,0,-2814667,-1787477259] 4 [9542559:36397467:4913] 56350j3 [1,-1,0,2833,-5205104759] 2 [27362703:-27559548689:27] 56350j4 [1,-1,0,-44832167,-115528849759] 2 [7765:63174:1]
56350k (1 curve)	1	2+ 5+ 7- 23-	2+  0 5+ 7- -3 -3 -8  7
Curve Equation t Generators 56350k1 [1,-1,0,-6130742,-5835731084] 1 [-131143979268:243203395202:90518849]
56350l (1 curve)	1	2+ 5+ 7- 23-	2+  0 5+ 7-  4 -3 -1  0
Curve Equation t Generators 56350l1 [1,-1,0,13123,-11669729] 1 [375:6586:1]
56350m (1 curve)	1	2+ 5+ 7- 23-	2+  0 5+ 7- -4  1  3 -8
Curve Equation t Generators 56350m1 [1,-1,0,1127383,-110785459] 1 [21698725:993484868:15625]
56350n (4 curves)	1	2+ 5+ 7- 23-	2+  0 5+ 7- -4 -2 -6  4
Curve Equation t Generators 56350n1 [1,-1,0,-44942,2579716] 2 [-96:2498:1] 56350n2 [1,-1,0,-657442,205317216] 4 [214:8518:1] 56350n3 [1,-1,0,-596192,245068466] 2 [79:14048:1] 56350n4 [1,-1,0,-10518692,13133415966] 2 [1929:3273:1]
56350o (2 curves)	1	2+ 5+ 7- 23-	2+  1 5+ 7-  3  2  3 -5
Curve Equation t Generators 56350o1 [1,0,1,44900389,129134392678] 1 [375672854:-2574550531153:8] 56350o2 [1,0,1,-1276610011,17662577879398] 1 [16286:1083356:1]
56350p (1 curve)	1	2+ 5+ 7- 23-	2+  2 5+ 7-  0  5  7 -4
Curve Equation t Generators 56350p1 [1,1,0,-29075,1902125] 1 [169:1276:1]
56350q (2 curves)	1	2+ 5+ 7- 23-	2+  2 5+ 7-  6  2 -2 -4
Curve Equation t Generators 56350q1 [1,1,0,-1164460525,-15286931899875] 2 [-64894584780330:103781105702165:3235225239] 56350q2 [1,1,0,-1383980525,-9119078459875] 2 [-168236830:-7610292385:24389]
56350r (4 curves)	1	2+ 5+ 7- 23-	2+ -2 5+ 7-  0  2 -6  4
Curve Equation t Generators 56350r1 [1,0,1,-185001,-29752852] 2 [-2194:5993:8] 56350r2 [1,0,1,59999,-102762852] 2 [4206:66793:8] 56350r3 [1,0,1,-2071501,1137476148] 2 [522:13826:1] 56350r4 [1,0,1,-540251,2782038648] 2 [438:51059:1]
56350s (1 curve)	1	2+ 5+ 7- 23-	2+ -2 5+ 7-  0 -5 -7  4
Curve Equation t Generators 56350s1 [1,0,1,-1424701,-656702952] 1 [211347478:12911542818:50653]
56350t (2 curves)	1	2+ 5+ 7- 23-	2+ -2 5+ 7-  6 -2  2  4
Curve Equation t Generators 56350t1 [1,0,1,-23764501,44564919648] 2 [-2253:295526:1] 56350t2 [1,0,1,-28244501,26582199648] 2 [-2428:285551:1]
56350u (2 curves)	1	2+ 5+ 7- 23-	2+ -2 5+ 7-  6 -4  3 -2
Curve Equation t Generators 56350u1 [1,0,1,-376,-4602] 1 [57:371:1] 56350u2 [1,0,1,3124,79398] 1 [47:551:1]
56350v (1 curve)	1	2+ 5+ 7- 23-	2+ -3 5+ 7-  3  6 -5  1
Curve Equation t Generators 56350v1 [1,-1,0,383,21181] 1 [65:531:1]
56350w (1 curve)	1	2+ 5- 7+ 23-	2+  1 5- 7+ -4  1  7 -4
Curve Equation t Generators 56350w1 [1,0,1,-100721,12345988] 1 [292:2656:1]
56350x (2 curves)	1	2+ 5- 7- 23+	2+  2 5- 7- -6  1  3  4
Curve Equation t Generators 56350x1 [1,1,0,20800,-2311000] 1 [5963243:206207228:4913] 56350x2 [1,1,0,-193575,75507125] 1 [185:6695:1]
56350y (1 curve)	1	2+ 5- 7- 23+	2+ -2 5- 7-  5 -7  0  7
Curve Equation t Generators 56350y1 [1,0,1,-28201,901548] 1 [27:386:1]
56350z (1 curve)	0	2+ 5- 7- 23-	2+ -1 5- 7- -4 -1 -7  4
Curve Equation t 56350z1 [1,1,0,-2055,-36875] 1
56350ba (2 curves)	0	2+ 5- 7- 23-	2+  2 5- 7-  3  1  0  1
Curve Equation t 56350ba1 [1,1,0,-46575,3109625] 1 56350ba2 [1,1,0,-3568450,2593096500] 1
56350bb (2 curves)	0	2- 5+ 7+ 23+	2- -1 5+ 7+  0  7  3 -4
Curve Equation t 56350bb1 [1,1,1,-36998088,86604590281] 1 56350bb2 [1,1,1,-24178463,147424835781] 1
56350bc (2 curves)	1	2- 5+ 7+ 23-	2- -1 5+ 7+  0 -5 -3 -4
Curve Equation t Generators 56350bc1 [1,1,1,-4313,116031] 1 [45:102:1] 56350bc2 [1,1,1,26312,-67719] 1 [245:4477:1]
56350bd (1 curve)	1	2- 5+ 7+ 23-	2- -2 5+ 7+ -2  0 -3 -6
Curve Equation t Generators 56350bd1 [1,0,0,-1840588,-3242852208] 1 [10072:994964:1]
56350be (2 curves)	1	2- 5+ 7- 23+	2-  0 5+ 7-  2 -2 -2  2
Curve Equation t Generators 56350be1 [1,-1,1,-12480,626147] 2 [65:261:1] 56350be2 [1,-1,1,-208480,36690147] 2 [219:1115:1]
56350bf (2 curves)	1	2- 5+ 7- 23+	2-  0 5+ 7- -2  2 -2 -4
Curve Equation t Generators 56350bf1 [1,-1,1,-1630,13997] 2 [-1:125:1] 56350bf2 [1,-1,1,5370,97997] 2 [23:471:1]
56350bg (2 curves)	1	2- 5+ 7- 23+	2-  0 5+ 7- -2 -2  2  4
Curve Equation t Generators 56350bg1 [1,-1,1,-79855,-4641353] 2 [-241:870:1] 56350bg2 [1,-1,1,263145,-34139353] 2 [3783:61220:27]
56350bh (2 curves)	1	2- 5+ 7- 23+	2-  0 5+ 7- -4  4 -8  2
Curve Equation t Generators 56350bh1 [1,-1,1,-10030,-1796903] 2 [23105:191441:125] 56350bh2 [1,-1,1,-291780,-60400903] 2 [112454760:-4513122833:64000]
56350bi (2 curves)	1	2- 5+ 7- 23+	2-  1 5+ 7-  0 -7 -3  4
Curve Equation t Generators 56350bi1 [1,0,0,-755063,-252599383] 1 [2192:91779:1] 56350bi2 [1,0,0,-493438,-429880508] 1 [1062:15094:1]
56350bj (2 curves)	1	2- 5+ 7- 23+	2-  2 5+ 7-  0  0  2  4
Curve Equation t Generators 56350bj1 [1,1,1,-5363,149281] 2 [41:0:1] 56350bj2 [1,1,1,-85863,9648281] 2 [-225:4312:1]
56350bk (2 curves)	1	2- 5+ 7- 23+	2- -2 5+ 7-  0  0 -2 -4
Curve Equation t Generators 56350bk1 [1,0,0,-262788,-51991808] 2 [104870:2177408:125] 56350bk2 [1,0,0,-4207288,-3321982308] 2 [13612740:-725366234:3375]
56350bl (2 curves)	1	2- 5+ 7- 23+	2- -2 5+ 7-  3 -1  0  1
Curve Equation t Generators 56350bl1 [1,0,0,-1863,24877] 1 [6:115:1] 56350bl2 [1,0,0,-142738,20744772] 1 [218:-108:1]
56350bm (2 curves)	0	2- 5+ 7- 23-	2-  0 5+ 7-  0  4  4  2
Curve Equation t 56350bm1 [1,-1,1,-1090480,594800147] 2 56350bm2 [1,-1,1,-19122480,32186864147] 2
56350bn (2 curves)	0	2- 5+ 7- 23-	2-  1 5+ 7-  0  5  3  4
Curve Equation t 56350bn1 [1,0,0,-211338,-40432708] 1 56350bn2 [1,0,0,1289287,27095417] 1
56350bo (1 curve)	0	2- 5+ 7- 23-	2-  2 5+ 7- -2  0  3  6
Curve Equation t 56350bo1 [1,1,1,-37563,9438281] 1
56350bp (2 curves)	0	2- 5+ 7- 23-	2-  2 5+ 7-  4  0  6  6
Curve Equation t 56350bp1 [1,1,1,42237,-15698719] 2 56350bp2 [1,1,1,-741763,-230514719] 2
56350bq (1 curve)	0	2- 5+ 7- 23-	2-  2 5+ 7-  5  7  0  7
Curve Equation t 56350bq1 [1,1,1,-1128,6761] 1
56350br (2 curves)	2	2- 5+ 7- 23-	2- -2 5+ 7- -6 -1 -3  4
Curve Equation t Generators 56350br1 [1,0,0,832,-18488] 1 [134:51:8]&[46:-366:1] 56350br2 [1,0,0,-7743,604057] 1 [-114:149:1]&[-52:957:1]
56350bs (1 curve)	1	2- 5- 7+ 23+	2- -1 5- 7+ -4 -1 -7 -4
Curve Equation t Generators 56350bs1 [1,1,1,-2518013,1543248531] 1 [1735:48132:1]
56350bt (1 curve)	0	2- 5- 7- 23+	2-  0 5- 7- -3  3  8  7
Curve Equation t 56350bt1 [1,-1,1,-245230,-46636803] 1
56350bu (1 curve)	0	2- 5- 7- 23+	2-  0 5- 7-  4  3  1  0
Curve Equation t 56350bu1 [1,-1,1,328070,-1458388053] 1
56350bv (1 curve)	2	2- 5- 7- 23+	2-  0 5- 7- -4 -1 -3 -8
Curve Equation t Generators 56350bv1 [1,-1,1,45095,-895303] 1 [23:380:1]&[359:7660:1]
56350bw (1 curve)	0	2- 5- 7- 23+	2-  1 5- 7- -4  1  7  4
Curve Equation t 56350bw1 [1,0,0,-51388,-4506608] 1
56350bx (2 curves)	0	2- 5- 7- 23+	2- -1 5- 7-  3 -2 -3 -5
Curve Equation t 56350bx1 [1,1,1,1122509737,16141799084781] 1 56350bx2 [1,1,1,-31915250263,2207822234924781] 1
56350by (1 curve)	0	2- 5- 7- 23+	2-  2 5- 7-  0  5  7  4
Curve Equation t 56350by1 [1,1,1,-56988,-5276419] 1
56350bz (1 curve)	2	2- 5- 7- 23+	2- -2 5- 7-  0 -5 -7 -4
Curve Equation t Generators 56350bz1 [1,0,0,-1163,15217] 1 [-38:89:1]&[22:-31:1]
56350ca (1 curve)	0	2- 5- 7- 23+	2-  3 5- 7-  3 -6  5  1
Curve Equation t 56350ca1 [1,-1,1,9570,2657197] 1
56350cb (1 curve)	1	2- 5- 7- 23-	2- -1 5- 7- -5 -2  5 -5
Curve Equation t Generators 56350cb1 [1,1,1,-47188,-9519819] 1 [545:-11543:1]

Data from Elliptic Curve Data by J. E. Cremona.
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