Cremona's table of elliptic curves

40368 = 2⁴ · 3 · 29²

Class	r	Atkin-Lehner	Eigenvalues
40368a (1 curve)	1	2+ 3+ 29+	2+ 3+  0  1 -3  1  1  0
Curve Equation t Generators 40368a1 [0,-1,0,-74288,-7769781] 1 [2042312:128662067:512]
40368b (1 curve)	1	2+ 3+ 29+	2+ 3+  1  3 -2  4 -5  5
Curve Equation t Generators 40368b1 [0,-1,0,-4979000,-4276526832] 1 [53310643864:-4880955435364:5929741]
40368c (6 curves)	1	2+ 3+ 29+	2+ 3+ -2  0  4 -2 -2 -4
Curve Equation t Generators 40368c1 [0,-1,0,561,-6510] 2 [30445790:-168961156:1520875] 40368c2 [0,-1,0,-3644,-62016] 4 [-5020:16744:125] 40368c3 [0,-1,0,-20464,1081744] 4 [-128:1260:1] 40368c4 [0,-1,0,-54104,-4825440] 2 [-293225270:-40415669:2197000] 40368c5 [0,-1,0,13176,4257360] 2 [-32130:507870:343] 40368c6 [0,-1,0,-323224,70837648] 2 [-512:10092:1]
40368d (1 curve)	1	2+ 3+ 29+	2+ 3+ -2 -3 -5  1  7  2
Curve Equation t Generators 40368d1 [0,-1,0,46816,34041375] 1 [43:6011:1]
40368e (1 curve)	1	2+ 3+ 29+	2+ 3+  4 -3  1  1  1 -4
Curve Equation t Generators 40368e1 [0,-1,0,-30556,2426503] 1 [29988:609725:64]
40368f (2 curves)	0	2+ 3+ 29-	2+ 3+  0  0 -4  2  2 -4
Curve Equation t 40368f1 [0,-1,0,-40648,10648960] 2 40368f2 [0,-1,0,-1016208,393848928] 2
40368g (1 curve)	0	2+ 3+ 29-	2+ 3+  0 -1  2 -2 -6 -5
Curve Equation t 40368g1 [0,-1,0,-162593,25306749] 1
40368h (1 curve)	0	2+ 3+ 29-	2+ 3+  0 -1  2 -2  7  8
Curve Equation t 40368h1 [0,-1,0,-26212568,-51646275696] 1
40368i (1 curve)	0	2+ 3+ 29-	2+ 3+  0  5  1 -3 -3  6
Curve Equation t 40368i1 [0,-1,0,-2368,-45341] 1
40368j (1 curve)	2	2+ 3+ 29-	2+ 3+ -2 -5  0 -4  3 -6
Curve Equation t Generators 40368j1 [0,-1,0,-625984,186249760] 1 [1402:-45414:1]&[357:2854:1]
40368k (1 curve)	0	2+ 3- 29+	2+ 3-  0 -1 -2 -2  6  5
Curve Equation t 40368k1 [0,1,0,-193,971] 1
40368l (1 curve)	0	2+ 3- 29+	2+ 3-  0 -1 -2 -2 -7 -8
Curve Equation t 40368l1 [0,1,0,-22044769968,-1259821465648524] 1
40368m (1 curve)	0	2+ 3- 29+	2+ 3-  0  5 -5  1  3 -4
Curve Equation t 40368m1 [0,1,0,9812,-120481] 1
40368n (1 curve)	2	2+ 3- 29+	2+ 3- -2  1 -3 -7 -3 -6
Curve Equation t Generators 40368n1 [0,1,0,-3644,-157485] 1 [193:2523:1]&[1585:63075:1]
40368o (1 curve)	2	2+ 3- 29+	2+ 3- -2 -5  0 -4 -3  6
Curve Equation t Generators 40368o1 [0,1,0,-744,7380] 1 [12:-18:1]&[-6:108:1]
40368p (1 curve)	0	2+ 3- 29+	2+ 3- -3 -1 -2  4 -7  7
Curve Equation t 40368p1 [0,1,0,6448,455604] 1
40368q (2 curves)	1	2+ 3- 29-	2+ 3-  0  0  4  2 -2  4
Curve Equation t Generators 40368q1 [0,1,0,-48,420] 2 [26:132:1] 40368q2 [0,1,0,-1208,15732] 2 [18:12:1]
40368r (1 curve)	1	2+ 3- 29-	2+ 3-  0  5 -1 -3  3 -6
Curve Equation t Generators 40368r1 [0,1,0,-1991768,-1125738429] 1 [6589:521397:1]
40368s (1 curve)	0	2- 3+ 29+	2- 3+  0  3 -3 -3 -1 -4
Curve Equation t 40368s1 [0,-1,0,1402,-39309] 1
40368t (1 curve)	0	2- 3+ 29+	2- 3+  0  3  6  6  5  8
Curve Equation t 40368t1 [0,-1,0,-20928,377856] 1
40368u (1 curve)	0	2- 3+ 29+	2- 3+  1 -1  6 -4  7 -3
Curve Equation t 40368u1 [0,-1,0,-67560,7406064] 1
40368v (1 curve)	0	2- 3+ 29+	2- 3+ -2 -1  0 -4  1  6
Curve Equation t 40368v1 [0,-1,0,-17210504,-19564938000] 1
40368w (1 curve)	0	2- 3+ 29+	2- 3+ -2 -1  3  5  1  6
Curve Equation t 40368w1 [0,-1,0,-79334,-96105057] 1
40368x (1 curve)	0	2- 3+ 29+	2- 3+  3  3  6  0 -7  5
Curve Equation t 40368x1 [0,-1,0,-760544,263298816] 1
40368y (2 curves)	1	2- 3+ 29-	2- 3+ -1 -3  0 -4 -3 -1
Curve Equation t Generators 40368y1 [0,-1,0,184,624] 1 [10:-58:1] 40368y2 [0,-1,0,-16056,-778896] 1 [242:3074:1]
40368z (1 curve)	1	2- 3+ 29-	2- 3+  2 -1 -4  0  3 -2
Curve Equation t Generators 40368z1 [0,-1,0,-3357552,-2366595648] 1 [-1067:78:1]
40368ba (1 curve)	1	2- 3+ 29-	2- 3+  2  3  3  5 -3 -4
Curve Equation t Generators 40368ba1 [0,-1,0,-186982,31208887] 1 [9582624:39485791:32768]
40368bb (2 curves)	1	2- 3+ 29-	2- 3+  2 -4 -4 -2  4 -4
Curve Equation t Generators 40368bb1 [0,-1,0,-7037,-224880] 2 [-3312308:-75870:68921] 40368bb2 [0,-1,0,-6892,-234740] 2 [30285990290:-621808282503:68921000]
40368bc (1 curve)	1	2- 3+ 29-	2- 3+ -4 -1  2  6 -6 -5
Curve Equation t Generators 40368bc1 [0,-1,0,-1821045,-6258567879] 1 [2963978140905463:-1943800334286028266:6891541327]
40368bd (1 curve)	1	2- 3+ 29-	2- 3+ -4 -1  5  1  7  2
Curve Equation t Generators 40368bd1 [0,-1,0,8130,3795651] 1 [509:11813:1]
40368be (1 curve)	1	2- 3+ 29-	2- 3+ -4  3 -2 -6  7 -4
Curve Equation t Generators 40368be1 [0,-1,0,-1211320,-418987664] 1 [1402:25230:1]
40368bf (2 curves)	1	2- 3- 29+	2- 3- -1 -1 -2  0  3 -1
Curve Equation t Generators 40368bf1 [0,1,0,-13736,-213979212] 1 [628:5046:1] 40368bf2 [0,1,0,-87612296,316536762228] 1 [-1764139260:215243997606:274625]
40368bg (4 curves)	1	2- 3- 29+	2- 3-  2  0 -4  6  2  4
Curve Equation t Generators 40368bg1 [0,1,0,6448,2796948] 2 [-378252:10349346:6859] 40368bg2 [0,1,0,-262672,50054420] 4 [3540290:1876123536:274625] 40368bg3 [0,1,0,-666352,-141289900] 2 [-1626412568299220:-11144109398536002:6907850516125] 40368bg4 [0,1,0,-4164912,3270182868] 4 [130338:120801240:2197]
40368bh (1 curve)	1	2- 3- 29+	2- 3-  2 -1  1 -3  3  2
Curve Equation t Generators 40368bh1 [0,1,0,-1962,54447] 1 [119:1233:1]
40368bi (1 curve)	1	2- 3- 29+	2- 3-  2 -1  4  0 -3  2
Curve Equation t Generators 40368bi1 [0,1,0,-3992,-98412] 1 [-294:27:8]
40368bj (2 curves)	1	2- 3- 29+	2- 3- -3 -5  6 -4 -3 -1
Curve Equation t Generators 40368bj1 [0,1,0,-103672032,-1915463566476] 1 [33978:-5812992:1] 40368bj2 [0,1,0,926317488,49661879641236] 1 [28894470:-11905007616:1331]
40368bk (1 curve)	1	2- 3- 29+	2- 3- -4 -1 -2  6  6  5
Curve Equation t Generators 40368bk1 [0,1,0,-2165,-257361] 1 [271:4374:1]
40368bl (1 curve)	1	2- 3- 29+	2- 3- -4  3 -1 -3  5  4
Curve Equation t Generators 40368bl1 [0,1,0,-42330,-3568581] 1 [2298:22707:8]
40368bm (1 curve)	1	2- 3- 29+	2- 3- -4  3  2 -6 -7  4
Curve Equation t Generators 40368bm1 [0,1,0,-1440,-17676] 1 [90:-768:1]
40368bn (1 curve)	0	2- 3- 29-	2- 3-  0  3 -6  6 -5 -8
Curve Equation t 40368bn1 [0,1,0,-17600728,9039523604] 1
40368bo (2 curves)	0	2- 3- 29-	2- 3- -1 -3  0 -4  3  1
Curve Equation t 40368bo1 [0,1,0,154464,16764276] 1 40368bo2 [0,1,0,-13503376,-19131527404] 1
40368bp (1 curve)	0	2- 3- 29-	2- 3-  2  3 -3  5  3  4
Curve Equation t 40368bp1 [0,1,0,-222,1203] 1
40368bq (2 curves)	0	2- 3- 29-	2- 3-  2 -4  4 -2 -4  4
Curve Equation t 40368bq1 [0,1,0,-5918397,-5543781390] 2 40368bq2 [0,1,0,-5796452,-5783037480] 2
40368br (1 curve)	2	2- 3- 29-	2- 3- -2 -1  0 -4 -1 -6
Curve Equation t Generators 40368br1 [0,1,0,-20464,-809260] 1 [338:5568:1]&[-68:522:1]
40368bs (1 curve)	2	2- 3- 29-	2- 3- -4 -1 -5  1 -7 -2
Curve Equation t Generators 40368bs1 [0,1,0,10,159] 1 [19:-87:1]&[3:15:1]

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