Cremona's table of elliptic curves

125840 = 2⁴ · 5 · 11² · 13

Class	r	Atkin-Lehner	Eigenvalues
125840a (1 curve)	0	2+ 5+ 11- 13+	2+  1 5+  1 11- 13+  0  0
Curve Equation t 125840a1 [0,1,0,-3167336,-2350336540] 1
125840b (1 curve)	2	2+ 5+ 11- 13+	2+  1 5+ -2 11- 13+  1 -6
Curve Equation t Generators 125840b1 [0,1,0,-106036,13253260] 1 [186:4:1]&[282:2420:1]
125840c (1 curve)	0	2+ 5+ 11- 13+	2+  1 5+ -2 11- 13+  5  2
Curve Equation t 125840c1 [0,1,0,-1277316,330435884] 1
125840d (1 curve)	2	2+ 5+ 11- 13+	2+  1 5+ -3 11- 13+ -3  1
Curve Equation t Generators 125840d1 [0,1,0,-21336,-3306316] 1 [370:-6292:1]&[1690:69212:1]
125840e (1 curve)	0	2+ 5+ 11- 13+	2+ -1 5+  2 11- 13+  3 -6
Curve Equation t 125840e1 [0,-1,0,-13471,490646] 1
125840f (1 curve)	0	2+ 5+ 11- 13+	2+ -2 5+  4 11- 13+ -4  2
Curve Equation t 125840f1 [0,1,0,-7852456,8504852244] 1
125840g (1 curve)	0	2+ 5+ 11- 13+	2+ -3 5+ -1 11- 13+  0  0
Curve Equation t 125840g1 [0,0,0,9317,-556358] 1
125840h (1 curve)	0	2+ 5+ 11- 13+	2+ -3 5+  4 11- 13+  7  6
Curve Equation t 125840h1 [0,0,0,-629563,-183276038] 1
125840i (4 curves)	1	2+ 5+ 11- 13-	2+  0 5+  0 11- 13-  6  4
Curve Equation t Generators 125840i1 [0,0,0,-2783,55902] 2 [1038:2044:27] 125840i2 [0,0,0,-5203,-55902] 4 [-21:210:1] 125840i3 [0,0,0,18997,-428582] 2 [33:484:1] 125840i4 [0,0,0,-68123,-6838678] 2 [13629:252406:27]
125840j (1 curve)	1	2+ 5+ 11- 13-	2+  1 5+ -1 11- 13-  0  0
Curve Equation t Generators 125840j1 [0,1,0,-26176,1756324] 1 [120:598:1]
125840k (1 curve)	1	2+ 5+ 11- 13-	2+  1 5+  2 11- 13- -1  6
Curve Equation t Generators 125840k1 [0,1,0,-876,-10276] 1 [34:20:1]
125840l (1 curve)	1	2+ 5+ 11- 13-	2+  1 5+  2 11- 13- -5 -2
Curve Equation t Generators 125840l1 [0,1,0,-10556,-252100] 1 [242:3380:1]
125840m (1 curve)	1	2+ 5+ 11- 13-	2+ -1 5+ -2 11- 13- -3  6
Curve Equation t Generators 125840m1 [0,-1,0,-1630031,-646529750] 1 [-762:12350:1]
125840n (1 curve)	1	2+ 5+ 11- 13-	2+ -1 5+ -5 11- 13-  3  3
Curve Equation t Generators 125840n1 [0,-1,0,-91952296,339592943120] 1 [10696:761332:1]
125840o (1 curve)	1	2+ 5+ 11- 13-	2+ -2 5+ -2 11- 13- -3 -5
Curve Equation t Generators 125840o1 [0,1,0,-161,27355] 1 [-26:121:1]
125840p (2 curves)	1	2+ 5+ 11- 13-	2+ -2 5+ -4 11- 13-  2  0
Curve Equation t Generators 125840p1 [0,1,0,-1976,199780] 2 [-26:484:1] 125840p2 [0,1,0,-64896,6315604] 2 [84:1210:1]
125840q (1 curve)	1	2+ 5+ 11- 13-	2+ -2 5+ -4 11- 13-  4 -2
Curve Equation t Generators 125840q1 [0,1,0,-64896,-6413420] 1 [294:76:1]
125840r (1 curve)	1	2+ 5+ 11- 13-	2+ -3 5+  1 11- 13-  0  0
Curve Equation t Generators 125840r1 [0,0,0,77,418] 1 [3:-26:1]
125840s (1 curve)	3	2+ 5+ 11- 13-	2+ -3 5+ -4 11- 13- -7 -6
Curve Equation t Generators 125840s1 [0,0,0,-5203,137698] 1 [209:2860:1]&[-77:286:1]&[-66:440:1]
125840t (1 curve)	1	2+ 5- 11- 13+	2+  1 5-  2 11- 13+ -7  2
Curve Equation t Generators 125840t1 [0,1,0,-2460,-21892] 1 [-14:100:1]
125840u (2 curves)	1	2+ 5- 11- 13+	2+ -2 5-  0 11- 13+ -2  2
Curve Equation t Generators 125840u1 [0,1,0,-2460,-47060] 2 [1821:8468:27] 125840u2 [0,1,0,-40,-133212] 2 [96:870:1]
125840v (1 curve)	1	2+ 5- 11- 13+	2+  3 5-  2 11- 13+  5 -2
Curve Equation t Generators 125840v1 [0,0,0,-2662,-14641] 1 [-4740807:24762680:132651]
125840w (4 curves)	0	2+ 5- 11- 13-	2+  0 5-  0 11- 13-  2  4
Curve Equation t 125840w1 [0,0,0,-856922,305290139] 2 125840w2 [0,0,0,-930127,250049646] 4 125840w3 [0,0,0,2397373,1633624146] 4 125840w4 [0,0,0,-5428907,-4668916406] 2
125840x (1 curve)	0	2+ 5- 11- 13-	2+  0 5-  4 11- 13-  1 -1
Curve Equation t 125840x1 [0,0,0,-25652,-4892756] 1
125840y (1 curve)	0	2+ 5- 11- 13-	2+  1 5- -2 11- 13-  7 -2
Curve Equation t 125840y1 [0,1,0,-297700,27947500] 1
125840z (1 curve)	0	2+ 5- 11- 13-	2+ -2 5- -2 11- 13-  1  1
Curve Equation t 125840z1 [0,1,0,-675825,-281248277] 1
125840ba (1 curve)	0	2+ 5- 11- 13-	2+  3 5- -2 11- 13- -5  2
Curve Equation t 125840ba1 [0,0,0,-22,11] 1
125840bb (2 curves)	0	2- 5+ 11+ 13+	2-  0 5+ -4 11+ 13+  2  4
Curve Equation t 125840bb1 [0,0,0,-246323,54548978] 2 125840bb2 [0,0,0,-4113043,3210565842] 2
125840bc (2 curves)	1	2- 5+ 11+ 13-	2-  0 5+  4 11+ 13- -2 -4
Curve Equation t Generators 125840bc1 [0,0,0,-29805083,-72604689718] 2 [874629952926763:5348494878783056:136034659207] 125840bc2 [0,0,0,-497678203,-4273263135702] 2 [1030242987725265829251:-2457493306393090311109218:181062131404517]
125840bd (1 curve)	1	2- 5+ 11- 13+	2-  1 5+  1 11- 13+  0  4
Curve Equation t Generators 125840bd1 [0,1,0,-4176,-164716] 1 [27076:21034:343]
125840be (1 curve)	1	2- 5+ 11- 13+	2-  1 5+  1 11- 13+  5 -3
Curve Equation t Generators 125840be1 [0,1,0,-1812136,938395060] 1 [711:3146:1]
125840bf (1 curve)	1	2- 5+ 11- 13+	2-  1 5+ -1 11- 13+ -5  3
Curve Equation t Generators 125840bf1 [0,1,0,51264,178484] 1 [10:832:1]
125840bg (1 curve)	1	2- 5+ 11- 13+	2-  1 5+ -2 11- 13+  3 -8
Curve Equation t Generators 125840bg1 [0,1,0,-19521,-895270] 1 [-3932:17635:64]
125840bh (1 curve)	1	2- 5+ 11- 13+	2-  1 5+  4 11- 13+  3  6
Curve Equation t Generators 125840bh1 [0,1,0,-216,20] 1 [22:-80:1]
125840bi (1 curve)	1	2- 5+ 11- 13+	2-  1 5+ -4 11- 13+ -5 -6
Curve Equation t Generators 125840bi1 [0,1,0,-1085696,435060404] 1 [602:32:1]
125840bj (1 curve)	1	2- 5+ 11- 13+	2-  1 5+  5 11- 13+ -8  6
Curve Equation t Generators 125840bj1 [0,1,0,2644,61400] 1 [49247:12811552:50653]
125840bk (2 curves)	1	2- 5+ 11- 13+	2- -1 5+  2 11- 13+  3 -4
Curve Equation t Generators 125840bk1 [0,-1,0,-601,5876] 1 [16:10:1] 125840bk2 [0,-1,0,-1041,-3320] 1 [148:1750:1]
125840bl (2 curves)	1	2- 5+ 11- 13+	2-  2 5+  2 11- 13+  3  5
Curve Equation t Generators 125840bl1 [0,-1,0,-215541,38629241] 1 [-535:726:1] 125840bl2 [0,-1,0,287819,178638825] 1 [-17072265:36903306:42875]
125840bm (2 curves)	1	2- 5+ 11- 13+	2-  2 5+ -4 11- 13+  0  2
Curve Equation t Generators 125840bm1 [0,-1,0,-216,1520] 1 [-4:48:1] 125840bm2 [0,-1,0,1544,-9744] 1 [84:840:1]
125840bn (4 curves)	1	2- 5+ 11- 13+	2-  2 5+ -4 11- 13+  6  8
Curve Equation t Generators 125840bn1 [0,-1,0,201304,-805264] 2 [1562190:46683494:3375] 125840bn2 [0,-1,0,-805416,-5637520] 2 [20872461210:-14018845346:23149125] 125840bn3 [0,-1,0,-2780136,-1904156560] 2 [4115586736940:275493388708560:806954491] 125840bn4 [0,-1,0,-45314056,-117392256144] 2 [386048042023974406734630:2506253203473193500788638:49543885758729859875]
125840bo (2 curves)	1	2- 5+ 11- 13+	2- -2 5+ -2 11- 13+ -6  0
Curve Equation t Generators 125840bo1 [0,1,0,-29201,-1705970] 2 [5254:380666:1] 125840bo2 [0,1,0,44004,-8821496] 2 [159:1490:1]
125840bp (2 curves)	1	2- 5+ 11- 13+	2- -2 5+  4 11- 13+  6  0
Curve Equation t Generators 125840bp1 [0,1,0,17480104,97169346580] 2 [-79108404:5332032706:29791] 125840bp2 [0,1,0,-240240216,1312887640084] 2 [243516320759180:-62699863262421022:3504881359]
125840bq (1 curve)	1	2- 5+ 11- 13+	2- -3 5+ -2 11- 13+  3  2
Curve Equation t Generators 125840bq1 [0,0,0,-469843,-123892142] 1 [-391:200:1]
125840br (1 curve)	0	2- 5+ 11- 13-	2-  1 5+ -1 11- 13-  0 -4
Curve Equation t 125840br1 [0,1,0,-505336,217215700] 1
125840bs (1 curve)	0	2- 5+ 11- 13-	2-  1 5+  2 11- 13- -3  8
Curve Equation t 125840bs1 [0,1,0,-161,614] 1
125840bt (1 curve)	0	2- 5+ 11- 13-	2-  1 5+  4 11- 13-  5  6
Curve Equation t 125840bt1 [0,1,0,-131369256,-579590874700] 1
125840bu (1 curve)	2	2- 5+ 11- 13-	2-  1 5+ -4 11- 13- -3 -6
Curve Equation t Generators 125840bu1 [0,1,0,-26176,-131276] 1 [282:-3872:1]&[-21:640:1]
125840bv (1 curve)	0	2- 5+ 11- 13-	2-  1 5+ -5 11- 13-  8 -6
Curve Equation t 125840bv1 [0,1,0,319884,-80443816] 1
125840bw (2 curves)	2	2- 5+ 11- 13-	2- -1 5+ -2 11- 13- -3  4
Curve Equation t Generators 125840bw1 [0,-1,0,-72761,-7529960] 1 [-156:2:1]&[1028:31670:1] 125840bw2 [0,-1,0,-126001,4922876] 1 [-40:3146:1]&[376:3250:1]
125840bx (2 curves)	0	2- 5+ 11- 13-	2-  2 5+  4 11- 13-  0 -2
Curve Equation t 125840bx1 [0,-1,0,-26176,-1918464] 1 125840bx2 [0,-1,0,186784,12222080] 1
125840by (2 curves)	0	2- 5+ 11- 13-	2-  2 5+ -4 11- 13- -2 -6
Curve Equation t 125840by1 [0,-1,0,-1976,7856] 2 125840by2 [0,-1,0,7704,54320] 2
125840bz (2 curves)	0	2- 5+ 11- 13-	2- -2 5+  2 11- 13- -2  0
Curve Equation t 125840bz1 [0,1,0,-34041,2406094] 2 125840bz2 [0,1,0,-33436,2496360] 2
125840ca (2 curves)	0	2- 5+ 11- 13-	2- -2 5+ -4 11- 13- -2  6
Curve Equation t 125840ca1 [0,1,0,-1628216,-800113580] 2 125840ca2 [0,1,0,-1473336,-958277036] 2
125840cb (1 curve)	2	2- 5+ 11- 13-	2- -3 5+  2 11- 13- -3 -2
Curve Equation t Generators 125840cb1 [0,0,0,-3883,93082] 1 [-19:400:1]&[31:50:1]
125840cc (4 curves)	0	2- 5- 11- 13+	2-  0 5-  0 11- 13+ -2  4
Curve Equation t 125840cc1 [0,0,0,-111410387,456306205586] 2 125840cc2 [0,0,0,-1786592467,29066070877074] 4 125840cc3 [0,0,0,-1790619347,28928461917586] 2 125840cc4 [0,0,0,-28585478867,1860228618811794] 2
125840cd (4 curves)	0	2- 5- 11- 13+	2-  0 5-  0 11- 13+ -2 -8
Curve Equation t 125840cd1 [0,0,0,-12947,-204974] 2 125840cd2 [0,0,0,-167827,-26441646] 4 125840cd3 [0,0,0,-129107,-38963694] 2 125840cd4 [0,0,0,-2684627,-1693066606] 2
125840ce (1 curve)	0	2- 5- 11- 13+	2-  0 5-  0 11- 13+  3 -1
Curve Equation t 125840ce1 [0,0,0,83248,-177842896] 1
125840cf (1 curve)	0	2- 5- 11- 13+	2-  0 5-  0 11- 13+  7  1
Curve Equation t 125840cf1 [0,0,0,-18392,1006236] 1
125840cg (1 curve)	0	2- 5- 11- 13+	2-  1 5-  2 11- 13+ -1  6
Curve Equation t 125840cg1 [0,1,0,-2613640,52767988] 1
125840ch (1 curve)	0	2- 5- 11- 13+	2-  1 5-  4 11- 13+ -1 -6
Curve Equation t 125840ch1 [0,1,0,-25173320,48593482100] 1
125840ci (3 curves)	2	2- 5- 11- 13+	2- -1 5- -1 11- 13+  3 -7
Curve Equation t Generators 125840ci1 [0,-1,0,-943840,496841600] 1 [680:13000:1]&[-920:24200:1] 125840ci2 [0,-1,0,7526160,-6692494400] 1 [1720:106480:1]&[2616:175760:1] 125840ci3 [0,-1,0,-180604640,-943269781760] 1 [191376:83507840:1]&[1087376:1133799040:1]
125840cj (2 curves)	0	2- 5- 11- 13+	2-  2 5-  2 11- 13+  3  5
Curve Equation t 125840cj1 [0,-1,0,-10325,684125] 1 125840cj2 [0,-1,0,86475,-12267715] 1
125840ck (4 curves)	0	2- 5- 11- 13+	2-  2 5- -4 11- 13+  6  2
Curve Equation t 125840ck1 [0,-1,0,-62960,6065600] 2 125840ck2 [0,-1,0,-24240,13406912] 2 125840ck3 [0,-1,0,-401760,-93948160] 2 125840ck4 [0,-1,0,217760,-358111488] 2
125840cl (2 curves)	0	2- 5- 11- 13+	2- -2 5-  4 11- 13+  2  0
Curve Equation t 125840cl1 [0,1,0,38680,-2640332] 2 125840cl2 [0,1,0,-213000,-24687500] 2
125840cm (1 curve)	0	2- 5- 11- 13+	2-  3 5- -3 11- 13+  1 -5
Curve Equation t 125840cm1 [0,0,0,-5917747,11288336114] 1
125840cn (1 curve)	2	2- 5- 11- 13+	2- -3 5- -2 11- 13+  3  2
Curve Equation t Generators 125840cn1 [0,0,0,-66187,6552634] 1 [165:352:1]&[-187:3520:1]
125840co (1 curve)	1	2- 5- 11- 13-	2-  1 5-  1 11- 13-  1  3
Curve Equation t Generators 125840co1 [0,1,0,-2071176400,-86544217209452] 1 [866466:805376000:1]
125840cp (1 curve)	1	2- 5- 11- 13-	2-  1 5- -2 11- 13-  1 -6
Curve Equation t Generators 125840cp1 [0,1,0,-21600,-47500] 1 [250:-3200:1]
125840cq (1 curve)	1	2- 5- 11- 13-	2-  1 5- -4 11- 13-  1  6
Curve Equation t Generators 125840cq1 [0,1,0,-3045971760,-64690108562092] 1 [105586:28121600:1]
125840cr (2 curves)	1	2- 5- 11- 13-	2- -2 5-  4 11- 13- -2  0
Curve Equation t Generators 125840cr1 [0,1,0,-266240,54278068] 2 [52:6370:1] 125840cr2 [0,1,0,-4293120,3422360500] 2 [2570:96800:1]
125840cs (1 curve)	1	2- 5- 11- 13-	2- -3 5- -1 11- 13-  3  1
Curve Equation t Generators 125840cs1 [0,0,0,-109747,15767026] 1 [55:3146:1]
125840ct (1 curve)	1	2- 5- 11- 13-	2- -3 5-  2 11- 13- -3 -2
Curve Equation t Generators 125840ct1 [0,0,0,-8008627,-8721555854] 1 [-1623:1120:1]

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