Cremona's table of elliptic curves

14910 = 2 · 3 · 5 · 7 · 71

Class	r	Atkin-Lehner	Eigenvalues
14910a (1 curve)	1	2+ 3+ 5+ 7+ 71+	2+ 3+ 5+ 7+  1 -7  4  5
Curve Equation t Generators 14910a1 [1,1,0,-10747298,-7207518348] 1 [-22746287:981302602:12167]
14910b (1 curve)	1	2+ 3+ 5+ 7- 71-	2+ 3+ 5+ 7-  0  0  0 -1
Curve Equation t Generators 14910b1 [1,1,0,-29148,-1971792] 1 [239:2068:1]
14910c (2 curves)	1	2+ 3+ 5+ 7- 71-	2+ 3+ 5+ 7-  2 -2  6  4
Curve Equation t Generators 14910c1 [1,1,0,-448,-238592] 2 [96:736:1] 14910c2 [1,1,0,-60448,-5674592] 2 [-147:322:1]
14910d (1 curve)	0	2+ 3+ 5- 7+ 71+	2+ 3+ 5- 7+  4 -1  7 -1
Curve Equation t 14910d1 [1,1,0,28,294] 1
14910e (2 curves)	1	2+ 3+ 5- 7+ 71-	2+ 3+ 5- 7+  0  0 -2  0
Curve Equation t Generators 14910e1 [1,1,0,53,109] 2 [3:16:1] 14910e2 [1,1,0,-247,649] 2 [-15:43:1]
14910f (2 curves)	1	2+ 3+ 5- 7+ 71-	2+ 3+ 5- 7+ -2 -4 -2 -4
Curve Equation t Generators 14910f1 [1,1,0,125423,-10844459] 2 [87:814:1] 14910f2 [1,1,0,-603577,-95262659] 2 [-183:3109:1]
14910g (2 curves)	1	2+ 3+ 5- 7- 71+	2+ 3+ 5- 7-  2  2 -2 -4
Curve Equation t Generators 14910g1 [1,1,0,-194617,-157373531] 2 [793:13306:1] 14910g2 [1,1,0,-5724217,-5256770651] 2 [8985:813293:1]
14910h (2 curves)	1	2+ 3+ 5- 7- 71+	2+ 3+ 5- 7-  2 -2 -2 -4
Curve Equation t Generators 14910h1 [1,1,0,-177,2241] 2 [-3:54:1] 14910h2 [1,1,0,-3927,92991] 2 [17:169:1]
14910i (1 curve)	1	2+ 3+ 5- 7- 71+	2+ 3+ 5- 7-  3  1  4 -5
Curve Equation t Generators 14910i1 [1,1,0,-52,-56] 1 [-5:13:1]
14910j (1 curve)	1	2+ 3+ 5- 7- 71+	2+ 3+ 5- 7- -3  0  4  1
Curve Equation t Generators 14910j1 [1,1,0,228,2016] 1 [60:456:1]
14910k (1 curve)	1	2+ 3+ 5- 7- 71+	2+ 3+ 5- 7- -3 -2 -2  1
Curve Equation t Generators 14910k1 [1,1,0,3315053,1655511469] 1 [3530270:592777457:125]
14910l (1 curve)	1	2+ 3+ 5- 7- 71+	2+ 3+ 5- 7- -3 -3 -2  1
Curve Equation t Generators 14910l1 [1,1,0,-11672,85134] 1 [-97:611:1]
14910m (1 curve)	0	2+ 3- 5+ 7+ 71+	2+ 3- 5+ 7+  0 -3 -1 -7
Curve Equation t 14910m1 [1,0,1,-24,-1178] 1
14910n (4 curves)	0	2+ 3- 5+ 7+ 71+	2+ 3- 5+ 7+  4  2 -2  4
Curve Equation t 14910n1 [1,0,1,-9174,163816] 2 14910n2 [1,0,1,-71894,-7312408] 4 14910n3 [1,0,1,-1145414,-471931864] 2 14910n4 [1,0,1,-1894,-20920408] 2
14910o (1 curve)	1	2+ 3- 5+ 7+ 71-	2+ 3- 5+ 7+  0 -4  0  1
Curve Equation t Generators 14910o1 [1,0,1,206,3026] 1 [18:103:1]
14910p (4 curves)	1	2+ 3- 5+ 7+ 71-	2+ 3- 5+ 7+ -4 -2  2  4
Curve Equation t Generators 14910p1 [1,0,1,-1653830364,-25871533694438] 2 [-6376479680884146890386461119366481099290636727562998605457907849799661929457177634951843685514330:-10722074993774593998649172760592936004300162343440137033772117591341442261245966429112040704069831:266703064514016489745303025121692253660719144139071520661285018052367118089154858386029393163] 14910p2 [1,0,1,-1989374684,-14620329991654] 4 [-1942928914775009240666997502936656209375755162775082:180642552916366269406465612848918664879431592660300526:247234804619617050221737343492723428932945303567] 14910p3 [1,0,1,-16446083804,801732685963802] 2 [7571954544425385204522715756878:-4010817907286277419922832373213453:231679223397729558837310653] 14910p4 [1,0,1,7098625316,-110894966791654] 2 [3167410514811782031302584113881016861017504437598158776560218187855781567093009398256562126416420878058:7901505969690677030755414707425221170759076154954990672650667497365064764268866337268088138109025688375506:508860362195678878890596216405814242756093709876539790798879655547083083358791689205670726816977]
14910q (4 curves)	1	2+ 3- 5+ 7- 71+	2+ 3- 5+ 7-  4  2  2 -4
Curve Equation t Generators 14910q1 [1,0,1,-1089,13732] 2 [28:59:1] 14910q2 [1,0,1,-1109,13196] 4 [-12:163:1] 14910q3 [1,0,1,-3559,-66184] 2 [-26:107:1] 14910q4 [1,0,1,1021,58352] 2 [80:768:1]
14910r (1 curve)	1	2+ 3- 5+ 7- 71+	2+ 3- 5+ 7- -5 -1 -4  5
Curve Equation t Generators 14910r1 [1,0,1,-828944,169957982] 1 [168:5869:1]
14910s (2 curves)	0	2+ 3- 5+ 7- 71-	2+ 3- 5+ 7-  0 -1  3  5
Curve Equation t 14910s1 [1,0,1,-70510219,227884615862] 3 14910s2 [1,0,1,-68200234,243511811996] 1
14910t (1 curve)	0	2+ 3- 5+ 7- 71-	2+ 3- 5+ 7- -5  4  8 -5
Curve Equation t 14910t1 [1,0,1,-514,-5788] 1
14910u (1 curve)	1	2+ 3- 5- 7+ 71+	2+ 3- 5- 7+  1 -1  4 -5
Curve Equation t Generators 14910u1 [1,0,1,-288,-1844] 1 [-10:12:1]
14910v (2 curves)	1	2+ 3- 5- 7+ 71+	2+ 3- 5- 7+  4 -4 -2 -8
Curve Equation t Generators 14910v1 [1,0,1,-8,-682] 2 [12:25:1] 14910v2 [1,0,1,-1208,-16042] 2 [92:762:1]
14910w (2 curves)	0	2+ 3- 5- 7+ 71-	2+ 3- 5- 7+  0  6  4  4
Curve Equation t 14910w1 [1,0,1,-18,16] 2 14910w2 [1,0,1,52,128] 2
14910x (2 curves)	0	2+ 3- 5- 7+ 71-	2+ 3- 5- 7+ -6  0 -2  4
Curve Equation t 14910x1 [1,0,1,-614328,-185455994] 2 14910x2 [1,0,1,-9830328,-11863971194] 2
14910y (4 curves)	0	2+ 3- 5- 7- 71+	2+ 3- 5- 7-  0  2  0 -4
Curve Equation t 14910y1 [1,0,1,-4078,76256] 6 14910y2 [1,0,1,9642,482368] 6 14910y3 [1,0,1,-110653,-14170984] 2 14910y4 [1,0,1,-92733,-18909032] 2
14910z (4 curves)	0	2+ 3- 5- 7- 71+	2+ 3- 5- 7-  0 -4  6  8
Curve Equation t 14910z1 [1,0,1,102022,27299756] 6 14910z2 [1,0,1,-977978,321923756] 6 14910z3 [1,0,1,-945353,-867753844] 2 14910z4 [1,0,1,-20606153,-35966214004] 2
14910ba (1 curve)	0	2- 3+ 5- 7+ 71-	2- 3+ 5- 7+  4  5 -5  5
Curve Equation t 14910ba1 [1,1,1,-1210,-16825] 1
14910bb (6 curves)	0	2- 3+ 5- 7+ 71-	2- 3+ 5- 7+ -4 -2 -6 -4
Curve Equation t 14910bb1 [1,1,1,-121090,14635535] 4 14910bb2 [1,1,1,-448770,-99921393] 8 14910bb3 [1,1,1,-6901250,-6980846065] 4 14910bb4 [1,1,1,760830,-544086513] 4 14910bb5 [1,1,1,-110419250,-446642495665] 2 14910bb6 [1,1,1,-6622930,-7569325873] 2
14910bc (1 curve)	1	2- 3- 5+ 7+ 71+	2- 3- 5+ 7+ -5  5  0  1
Curve Equation t Generators 14910bc1 [1,0,0,-4596,-59760] 1 [-24:204:1]
14910bd (2 curves)	0	2- 3- 5+ 7- 71+	2- 3- 5+ 7-  0  5  3 -1
Curve Equation t 14910bd1 [1,0,0,1774,16956] 3 14910bd2 [1,0,0,-19016,-1278450] 1
14910be (2 curves)	0	2- 3- 5+ 7- 71+	2- 3- 5+ 7-  3 -1  6 -1
Curve Equation t 14910be1 [1,0,0,-1176,14616] 3 14910be2 [1,0,0,-16566,-818550] 1
14910bf (1 curve)	1	2- 3- 5+ 7- 71-	2- 3- 5+ 7- -1  2  2 -7
Curve Equation t Generators 14910bf1 [1,0,0,-256,1556] 1 [8:2:1]
14910bg (2 curves)	1	2- 3- 5+ 7- 71-	2- 3- 5+ 7-  3 -4  0  5
Curve Equation t Generators 14910bg1 [1,0,0,183569,-2353827655] 3 [1286:2429:1] 14910bg2 [1,0,0,-128229871,-558963273799] 1 [13214:225653:1]
14910bh (4 curves)	1	2- 3- 5+ 7- 71-	2- 3- 5+ 7- -4  2  2 -4
Curve Equation t Generators 14910bh1 [1,0,0,-186,-4380] 2 [56:374:1] 14910bh2 [1,0,0,-5306,-148764] 4 [-42:42:1] 14910bh3 [1,0,0,-84826,-9516220] 2 [338:506:1] 14910bh4 [1,0,0,-7706,-1404] 2 [-72:462:1]
14910bi (1 curve)	1	2- 3- 5+ 7- 71-	2- 3- 5+ 7- -4 -4 -4  5
Curve Equation t Generators 14910bi1 [1,0,0,-524811,545510385] 1 [7098:-598899:1]
14910bj (2 curves)	0	2- 3- 5- 7+ 71+	2- 3- 5- 7+  4  2  0  4
Curve Equation t 14910bj1 [1,0,0,-33725,202125] 2 14910bj2 [1,0,0,134345,1647527] 2
14910bk (1 curve)	1	2- 3- 5- 7- 71+	2- 3- 5- 7- -1 -3 -6  1
Curve Equation t Generators 14910bk1 [1,0,0,-28335,999225] 1 [30:405:1]
14910bl (1 curve)	1	2- 3- 5- 7- 71+	2- 3- 5- 7- -3  2 -6 -5
Curve Equation t Generators 14910bl1 [1,0,0,-1037600,-5198727168] 1 [3454:178348:1]
14910bm (1 curve)	1	2- 3- 5- 7- 71+	2- 3- 5- 7- -3 -3  4 -5
Curve Equation t Generators 14910bm1 [1,0,0,-1565,23697] 1 [22:-5:1]
14910bn (2 curves)	1	2- 3- 5- 7- 71+	2- 3- 5- 7- -3 -4  0 -1
Curve Equation t Generators 14910bn1 [1,0,0,-7860,304272] 3 [-96:468:1] 14910bn2 [1,0,0,53340,-1255968] 1 [42:1008:1]

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

Part of Computational Number Theory
Back to Tables and computations