Cremona's table of elliptic curves

49368 = 2³ · 3 · 11² · 17

Class	r	Atkin-Lehner	Eigenvalues
49368a (2 curves)	1	2+ 3+ 11+ 17+	2+ 3+  0 -2 11+  4 17+  0
Curve Equation t Generators 49368a1 [0,-1,0,-649788,201823668] 2 [194:9112:1] 49368a2 [0,-1,0,-653528,199386684] 2 [1530:72159:8]
49368b (2 curves)	1	2+ 3+ 11+ 17+	2+ 3+  0  4 11+ -2 17+  6
Curve Equation t Generators 49368b1 [0,-1,0,-1027088,-398551140] 2 [-8022631967242:-17082705561968:14014952531] 49368b2 [0,-1,0,-16413448,-25589099732] 2 [-1476461237739356613030416494:10442307420432938035755483:631368189940425552898408]
49368c (2 curves)	1	2+ 3+ 11+ 17+	2+ 3+ -4 -2 11+ -4 17+  4
Curve Equation t Generators 49368c1 [0,-1,0,-31500,-1838604] 2 [-70:136:1] 49368c2 [0,-1,0,-484040,-129454884] 2 [15569:1940598:1]
49368d (1 curve)	0	2+ 3+ 11- 17+	2+ 3+  1 -5 11-  0 17+ -7
Curve Equation t 49368d1 [0,-1,0,-123149000,530669234988] 1
49368e (1 curve)	2	2+ 3+ 11- 17+	2+ 3+  2 -2 11- -5 17+ -7
Curve Equation t Generators 49368e1 [0,-1,0,-832,9517] 1 [-14:135:1]&[13:27:1]
49368f (4 curves)	0	2+ 3+ 11- 17+	2+ 3+  2  4 11- -2 17+ -4
Curve Equation t 49368f1 [0,-1,0,-3462092,-2478300108] 2 49368f2 [0,-1,0,-3464512,-2474659460] 4 49368f3 [0,-1,0,-2065752,-4492790388] 2 49368f4 [0,-1,0,-4901992,-223565780] 2
49368g (1 curve)	0	2+ 3+ 11- 17+	2+ 3+ -4  0 11-  5 17+  3
Curve Equation t 49368g1 [0,-1,0,-31500,-2058219] 1
49368h (1 curve)	1	2+ 3+ 11- 17-	2+ 3+  3  0 11- -3 17- -1
Curve Equation t Generators 49368h1 [0,-1,0,61791,2280357] 1 [-31:578:1]
49368i (2 curves)	1	2+ 3- 11+ 17-	2+ 3-  2  2 11+  4 17- -6
Curve Equation t Generators 49368i1 [0,1,0,-67932,-6741792] 2 [-153:306:1] 49368i2 [0,1,0,-4352,-18796560] 2 [595:13770:1]
49368j (1 curve)	1	2+ 3- 11- 17+	2+ 3-  0  0 11-  3 17+ -7
Curve Equation t Generators 49368j1 [0,1,0,-348,2385] 1 [12:-9:1]
49368k (2 curves)	1	2+ 3- 11- 17+	2+ 3-  0  0 11-  6 17+  2
Curve Equation t Generators 49368k1 [0,1,0,-105068,-13112640] 2 [2812:148104:1] 49368k2 [0,1,0,-63928,-23447008] 2 [491:7986:1]
49368l (1 curve)	1	2+ 3- 11- 17+	2+ 3-  0  3 11-  0 17+  2
Curve Equation t Generators 49368l1 [0,1,0,-223916953,1361478841259] 1 [1943:966306:1]
49368m (1 curve)	1	2+ 3- 11- 17+	2+ 3-  1  1 11- -6 17+  1
Curve Equation t Generators 49368m1 [0,1,0,-58120,8584112] 1 [-2342:6171:8]
49368n (4 curves)	1	2+ 3- 11- 17+	2+ 3-  2  4 11- -6 17+ -4
Curve Equation t Generators 49368n1 [0,1,0,-6332,-195648] 2 [-2049040:-417696:42875] 49368n2 [0,1,0,-8752,-34960] 4 [9071:863940:1] 49368n3 [0,1,0,34808,-244048] 2 [238364:8074935:21952] 49368n4 [0,1,0,-91032,10496880] 2 [315:3630:1]
49368o (1 curve)	1	2+ 3- 11- 17+	2+ 3- -2 -1 11- -2 17+  6
Curve Equation t Generators 49368o1 [0,1,0,-25329,-4449645] 1 [843:23958:1]
49368p (2 curves)	1	2+ 3- 11- 17+	2+ 3- -2  2 11-  4 17+ -6
Curve Equation t Generators 49368p1 [0,1,0,-1454944,674970800] 2 [-1357:12342:1] 49368p2 [0,1,0,-1537224,594270576] 2 [-1365:12294:1]
49368q (1 curve)	0	2+ 3- 11- 17-	2+ 3- -2  2 11-  7 17- -3
Curve Equation t 49368q1 [0,1,0,-63444,-6063543] 1
49368r (1 curve)	2	2+ 3- 11- 17-	2+ 3- -2 -2 11- -3 17- -5
Curve Equation t Generators 49368r1 [0,1,0,-10204,-13543] 1 [-88:459:1]&[-37:-561:1]
49368s (2 curves)	0	2+ 3- 11- 17-	2+ 3- -2 -4 11-  4 17-  0
Curve Equation t 49368s1 [0,1,0,-22304,1273776] 2 49368s2 [0,1,0,-17464,1846832] 2
49368t (2 curves)	1	2- 3+ 11+ 17-	2- 3+  0  2 11+ -4 17-  0
Curve Equation t Generators 49368t1 [0,-1,0,-78624388,-268312804604] 2 [-6124678950906472380:267379138070027258:1196992284167233] 49368t2 [0,-1,0,-79076928,-265067368740] 2 [1521881903574861110583444566186:-91791186906107045456645652827484:126429423567621075928500839]
49368u (2 curves)	1	2- 3+ 11+ 17-	2- 3+  0 -4 11+  2 17- -6
Curve Equation t Generators 49368u1 [0,-1,0,-8488,302524] 2 [30:272:1] 49368u2 [0,-1,0,-135648,19274796] 2 [217:102:1]
49368v (2 curves)	1	2- 3+ 11+ 17-	2- 3+ -4  2 11+  4 17- -4
Curve Equation t Generators 49368v1 [0,-1,0,-260,1476] 2 [4:22:1] 49368v2 [0,-1,0,-4000,98716] 2 [38:12:1]
49368w (1 curve)	1	2- 3+ 11- 17+	2- 3+ -4  3 11-  4 17+ -6
Curve Equation t Generators 49368w1 [0,-1,0,16295,1983181] 1 [103:-2178:1]
49368x (1 curve)	0	2- 3+ 11- 17-	2- 3+  1  5 11-  0 17-  7
Curve Equation t 49368x1 [0,-1,0,-1017760,-398329556] 1
49368y (1 curve)	0	2- 3+ 11- 17-	2- 3+  2  2 11-  5 17-  7
Curve Equation t 49368y1 [0,-1,0,-100712,-12264327] 1
49368z (2 curves)	0	2- 3+ 11- 17-	2- 3+ -2  2 11-  0 17- -2
Curve Equation t 49368z1 [0,-1,0,-17464,-648932] 2 49368z2 [0,-1,0,-99744,11627244] 2
49368ba (2 curves)	0	2- 3+ 11- 17-	2- 3+  4  4 11- -2 17-  2
Curve Equation t 49368ba1 [0,-1,0,-9236,-160092] 2 49368ba2 [0,-1,0,31904,-1229732] 2
49368bb (1 curve)	2	2- 3+ 11- 17-	2- 3+ -4  0 11- -5 17- -3
Curve Equation t Generators 49368bb1 [0,-1,0,-260,1641] 1 [-4:51:1]&[5:21:1]
49368bc (2 curves)	1	2- 3- 11+ 17+	2- 3-  2 -2 11+ -4 17+  6
Curve Equation t Generators 49368bc1 [0,1,0,-8219812,8940445952] 2 [914:46818:1] 49368bc2 [0,1,0,-526632,25016114880] 2 [1008:159720:1]
49368bd (1 curve)	0	2- 3- 11- 17+	2- 3- -2  2 11-  3 17+  5
Curve Equation t 49368bd1 [0,1,0,-1234724,13086885] 1
49368be (1 curve)	2	2- 3- 11- 17+	2- 3- -2 -2 11- -7 17+  3
Curve Equation t Generators 49368be1 [0,1,0,-524,4365] 1 [-26:33:1]&[7:-33:1]
49368bf (1 curve)	0	2- 3- 11- 17+	2- 3- -3  4 11-  5 17+  7
Curve Equation t 49368bf1 [0,1,0,-2097,-76221] 1
49368bg (1 curve)	1	2- 3- 11- 17-	2- 3-  0  0 11- -3 17-  7
Curve Equation t Generators 49368bg1 [0,1,0,-42148,-3342979] 1 [-121:3:1]
49368bh (2 curves)	1	2- 3- 11- 17-	2- 3-  0 -2 11- -2 17- -4
Curve Equation t Generators 49368bh1 [0,1,0,-5848,168320] 2 [-88:96:1] 49368bh2 [0,1,0,-1008,443232] 2 [51:726:1]
49368bi (2 curves)	1	2- 3- 11- 17-	2- 3-  0  4 11- -2 17-  2
Curve Equation t Generators 49368bi1 [0,1,0,-158308,-24271744] 2 [-31207206:-10411082:132651] 49368bi2 [0,1,0,-117168,-37140336] 2 [87502652688:-913452987916:176558481]
49368bj (1 curve)	1	2- 3- 11- 17-	2- 3-  1 -1 11-  6 17- -1
Curve Equation t Generators 49368bj1 [0,1,0,-480,-6624] 1 [282:1173:8]
49368bk (4 curves)	1	2- 3- 11- 17-	2- 3-  2 -4 11-  2 17- -4
Curve Equation t Generators 49368bk1 [0,1,0,13633,-251550] 2 [43:645:1] 49368bk2 [0,1,0,-59572,-2154880] 4 [-190:1530:1] 49368bk3 [0,1,0,-512112,139399632] 4 [2472:118260:1] 49368bk4 [0,1,0,-778312,-264351232] 2 [2504:116160:1]

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

Part of Computational Number Theory
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