Cremona's table of elliptic curves

23562 = 2 · 3² · 7 · 11 · 17

Class	r	Atkin-Lehner	Eigenvalues
23562a (2 curves)	0	2+ 3+ 7+ 11- 17+	2+ 3+  2 7+ 11- -4 17+  4
Curve Equation t 23562a1 [1,-1,0,-29391,1938797] 2 23562a2 [1,-1,0,-14271,3919517] 2
23562b (2 curves)	0	2+ 3+ 7- 11+ 17+	2+ 3+ -2 7- 11+  0 17+ -8
Curve Equation t 23562b1 [1,-1,0,-1539798,-735049180] 2 23562b2 [1,-1,0,-1536018,-738840520] 2
23562c (2 curves)	0	2+ 3+ 7- 11+ 17+	2+ 3+  4 7- 11+  0 17+  4
Curve Equation t 23562c1 [1,-1,0,-34440,-586432] 2 23562c2 [1,-1,0,-328200,71972288] 2
23562d (2 curves)	1	2+ 3+ 7- 11+ 17-	2+ 3+ -2 7- 11+  4 17-  6
Curve Equation t Generators 23562d1 [1,-1,0,-3498,-69696] 2 [-41:80:1] 23562d2 [1,-1,0,5172,-366210] 2 [61:386:1]
23562e (2 curves)	1	2+ 3+ 7- 11- 17+	2+ 3+ -2 7- 11- -2 17+ -8
Curve Equation t Generators 23562e1 [1,-1,0,-1638,24500] 2 [-4:178:1] 23562e2 [1,-1,0,-4998,-105196] 2 [-25:73:1]
23562f (4 curves)	0	2+ 3+ 7- 11- 17-	2+ 3+  0 7- 11- -4 17-  8
Curve Equation t 23562f1 [1,-1,0,-13902,70560] 6 23562f2 [1,-1,0,-161292,24920514] 6 23562f3 [1,-1,0,-729177,-239476627] 2 23562f4 [1,-1,0,-747537,-226767835] 2
23562g (2 curves)	0	2+ 3+ 7- 11- 17-	2+ 3+  2 7- 11-  6 17-  0
Curve Equation t 23562g1 [1,-1,0,-231,-343] 2 23562g2 [1,-1,0,-2121,37835] 2
23562h (6 curves)	0	2+ 3- 7+ 11+ 17+	2+ 3-  2 7+ 11+ -2 17+ -4
Curve Equation t 23562h1 [1,-1,0,-170856,-27138240] 2 23562h2 [1,-1,0,-182376,-23260608] 4 23562h3 [1,-1,0,417384,-144532080] 2 23562h4 [1,-1,0,-966456,346041072] 4 23562h5 [1,-1,0,750204,1440926820] 2 23562h6 [1,-1,0,-15228396,22877053884] 2
23562i (4 curves)	1	2+ 3- 7+ 11+ 17-	2+ 3- -2 7+ 11+ -2 17- -8
Curve Equation t Generators 23562i1 [1,-1,0,1962,77476] 2 [8:302:1] 23562i2 [1,-1,0,-19818,944320] 4 [-58:1406:1] 23562i3 [1,-1,0,-82188,-8099330] 2 [-135:790:1] 23562i4 [1,-1,0,-305928,65204626] 2 [333:250:1]
23562j (4 curves)	1	2+ 3- 7+ 11- 17+	2+ 3-  2 7+ 11-  2 17+ -4
Curve Equation t Generators 23562j1 [1,-1,0,-8226,-181868] 2 [149:1298:1] 23562j2 [1,-1,0,-54306,4748692] 4 [84:838:1] 23562j3 [1,-1,0,16254,16165300] 2 [-157:3197:1] 23562j4 [1,-1,0,-862146,308334964] 2 [543:-4:1]
23562k (2 curves)	0	2+ 3- 7+ 11- 17-	2+ 3-  0 7+ 11- -2 17-  6
Curve Equation t 23562k1 [1,-1,0,-23742,-1396332] 2 23562k2 [1,-1,0,-11502,-2843100] 2
23562l (1 curve)	0	2+ 3- 7+ 11- 17-	2+ 3-  3 7+ 11-  7 17-  0
Curve Equation t 23562l1 [1,-1,0,-42288,-18923248] 1
23562m (1 curve)	0	2+ 3- 7- 11+ 17-	2+ 3-  1 7- 11+ -5 17-  0
Curve Equation t 23562m1 [1,-1,0,-3155724,-2177076528] 1
23562n (4 curves)	0	2+ 3- 7- 11+ 17-	2+ 3- -2 7- 11+  2 17- -4
Curve Equation t 23562n1 [1,-1,0,-6048,-487760] 2 23562n2 [1,-1,0,-137268,-19514660] 4 23562n3 [1,-1,0,-178578,-6766394] 2 23562n4 [1,-1,0,-2195478,-1251559166] 2
23562o (1 curve)	0	2+ 3- 7- 11+ 17-	2+ 3-  3 7- 11+  1 17- -2
Curve Equation t 23562o1 [1,-1,0,35622,-2821068] 1
23562p (1 curve)	0	2+ 3- 7- 11- 17+	2+ 3-  1 7- 11- -3 17+ -4
Curve Equation t 23562p1 [1,-1,0,-2259,-48843] 1
23562q (2 curves)	0	2+ 3- 7- 11- 17+	2+ 3-  3 7- 11- -1 17+  2
Curve Equation t 23562q1 [1,-1,0,1253727,30781053] 1 23562q2 [1,-1,0,-17693793,30419342397] 3
23562r (2 curves)	1	2+ 3- 7- 11- 17-	2+ 3- -2 7- 11-  4 17-  0
Curve Equation t Generators 23562r1 [1,-1,0,-100143,11205945] 2 [2196:100773:1] 23562r2 [1,-1,0,115947,52824879] 2 [-135:5958:1]
23562s (2 curves)	1	2- 3+ 7+ 11+ 17-	2- 3+ -2 7+ 11+ -4 17-  4
Curve Equation t Generators 23562s1 [1,-1,1,-3266,-70719] 2 [-33:33:1] 23562s2 [1,-1,1,-1586,-144639] 2 [135:1377:1]
23562t (4 curves)	1	2- 3+ 7- 11+ 17+	2- 3+  0 7- 11+ -4 17+  8
Curve Equation t Generators 23562t1 [1,-1,1,-81020,8896511] 6 [-321:1483:1] 23562t2 [1,-1,1,-83060,8426495] 6 [91:1225:1] 23562t3 [1,-1,1,-125120,-1780001] 2 [-42355:180523:125] 23562t4 [1,-1,1,-1451630,-671402249] 2 [-523370610:687405761:729000]
23562u (2 curves)	1	2- 3+ 7- 11+ 17+	2- 3+ -2 7- 11+  6 17+  0
Curve Equation t Generators 23562u1 [1,-1,1,-26,21] 2 [-3:9:1] 23562u2 [1,-1,1,-236,-1323] 2 [-66:51:8]
23562v (2 curves)	0	2- 3+ 7- 11+ 17-	2- 3+  2 7- 11+ -2 17- -8
Curve Equation t 23562v1 [1,-1,1,-14744,-646757] 2 23562v2 [1,-1,1,-44984,2885275] 2
23562w (2 curves)	0	2- 3+ 7- 11- 17+	2- 3+  2 7- 11-  4 17+  6
Curve Equation t 23562w1 [1,-1,1,-31484,1913275] 2 23562w2 [1,-1,1,46546,9841123] 2
23562x (2 curves)	1	2- 3+ 7- 11- 17-	2- 3+  2 7- 11-  0 17- -8
Curve Equation t Generators 23562x1 [1,-1,1,-171089,27281073] 2 [237:-64:1] 23562x2 [1,-1,1,-170669,27421353] 2 [279:1070:1]
23562y (2 curves)	1	2- 3+ 7- 11- 17-	2- 3+ -4 7- 11-  0 17-  4
Curve Equation t Generators 23562y1 [1,-1,1,-3827,22995] 2 [-37:354:1] 23562y2 [1,-1,1,-36467,-2653485] 2 [-105:150:1]
23562z (2 curves)	1	2- 3- 7+ 11+ 17+	2- 3-  2 7+ 11+  0 17+  0
Curve Equation t Generators 23562z1 [1,-1,1,-955679,-351144057] 2 [-621:1910:1] 23562z2 [1,-1,1,173281,-1131029625] 2 [1985:82860:1]
23562ba (1 curve)	1	2- 3- 7+ 11+ 17+	2- 3- -3 7+ 11+ -3 17+ -4
Curve Equation t Generators 23562ba1 [1,-1,1,61,19] 1 [1:8:1]
23562bb (2 curves)	2	2- 3- 7+ 11- 17+	2- 3- -4 7+ 11- -6 17+ -6
Curve Equation t Generators 23562bb1 [1,-1,1,-33422,2275485] 2 [-30121:744717:343]&[-199:1107:1] 23562bb2 [1,-1,1,15538,8346525] 2 [-339:77233:27]&[-1154:14631:8]
23562bc (4 curves)	1	2- 3- 7+ 11- 17-	2- 3-  2 7+ 11-  2 17-  0
Curve Equation t Generators 23562bc1 [1,-1,1,-3299,-8157] 2 [-39:264:1] 23562bc2 [1,-1,1,-38579,-2901117] 4 [-111:120:1] 23562bc3 [1,-1,1,-24719,-5024469] 2 [1275:44472:1] 23562bc4 [1,-1,1,-616919,-186350565] 2 [173395:4953132:125]
23562bd (1 curve)	1	2- 3- 7+ 11- 17-	2- 3- -3 7+ 11- -5 17-  8
Curve Equation t Generators 23562bd1 [1,-1,1,-163253144,804461629339] 1 [-8363:1263065:1]
23562be (2 curves)	0	2- 3- 7- 11+ 17+	2- 3-  2 7- 11+ -4 17+  8
Curve Equation t 23562be1 [1,-1,1,-22156304,40147077363] 2 23562be2 [1,-1,1,-22085744,40415431155] 2
23562bf (1 curve)	1	2- 3- 7- 11+ 17-	2- 3- -1 7- 11+ -1 17-  8
Curve Equation t Generators 23562bf1 [1,-1,1,-438503,-118030737] 1 [809:7092:1]
23562bg (2 curves)	1	2- 3- 7- 11+ 17-	2- 3- -3 7- 11+  5 17-  2
Curve Equation t Generators 23562bg1 [1,-1,1,436,27587] 1 [-3:163:1] 23562bg2 [1,-1,1,-57479,5320127] 3 [-111:3268:1]
23562bh (2 curves)	1	2- 3- 7- 11- 17+	2- 3-  0 7- 11-  2 17+ -2
Curve Equation t Generators 23562bh1 [1,-1,1,-2525,-47019] 2 [-31:42:1] 23562bh2 [1,-1,1,535,-155955] 2 [71:450:1]
23562bi (2 curves)	1	2- 3- 7- 11- 17+	2- 3-  0 7- 11- -4 17+ -2
Curve Equation t Generators 23562bi1 [1,-1,1,167305,708934479] 2 [4803:-337506:1] 23562bi2 [1,-1,1,-10984055,13657893711] 2 [5199:-314142:1]
23562bj (1 curve)	1	2- 3- 7- 11- 17+	2- 3-  1 7- 11- -5 17+  2
Curve Equation t Generators 23562bj1 [1,-1,1,-347,-13953] 1 [35:108:1]
23562bk (4 curves)	1	2- 3- 7- 11- 17+	2- 3- -2 7- 11-  6 17+ -4
Curve Equation t Generators 23562bk1 [1,-1,1,544,1667] 2 [13:97:1] 23562bk2 [1,-1,1,-2336,15491] 4 [-23:249:1] 23562bk3 [1,-1,1,-20696,-1130173] 2 [-81:139:1] 23562bk4 [1,-1,1,-30056,2011331] 2 [123:343:1]
23562bl (1 curve)	1	2- 3- 7- 11- 17+	2- 3- -3 7- 11- -1 17+ -2
Curve Equation t Generators 23562bl1 [1,-1,1,-30376229,64446612189] 1 [3359:-19104:1]

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