Cremona's table of elliptic curves

62730 = 2 · 3² · 5 · 17 · 41

Class	r	Atkin-Lehner	Eigenvalues
62730a (1 curve)	1	2+ 3+ 5+ 17+ 41+	2+ 3+ 5+  1  4 -4 17+  1
Curve Equation t Generators 62730a1 [1,-1,0,-4080,102016] 1 [-25:446:1]
62730b (1 curve)	1	2+ 3+ 5+ 17+ 41+	2+ 3+ 5+ -3  3  1 17+  0
Curve Equation t Generators 62730b1 [1,-1,0,-960,-7984] 1 [-20:64:1]
62730c (1 curve)	1	2+ 3+ 5- 17+ 41-	2+ 3+ 5- -1 -3 -1 17+  8
Curve Equation t Generators 62730c1 [1,-1,0,-6193352994,187365357956500] 1 [-81484:12328742:1]
62730d (2 curves)	1	2+ 3+ 5- 17+ 41-	2+ 3+ 5- -4  6  2 17+ -4
Curve Equation t Generators 62730d1 [1,-1,0,8781,-387467] 2 [89:-1090:1] 62730d2 [1,-1,0,-56499,-3821195] 2 [-106:1037:1]
62730e (1 curve)	1	2+ 3+ 5- 17+ 41-	2+ 3+ 5-  5 -5 -1 17+ -8
Curve Equation t Generators 62730e1 [1,-1,0,-8304,103680] 1 [-96:144:1]
62730f (2 curves)	0	2+ 3+ 5- 17- 41-	2+ 3+ 5-  0  4  6 17-  4
Curve Equation t 62730f1 [1,-1,0,-17349,8216405] 2 62730f2 [1,-1,0,-725829,236772053] 2
62730g (1 curve)	0	2+ 3- 5+ 17+ 41+	2+ 3- 5+  1  1 -1 17+  4
Curve Equation t 62730g1 [1,-1,0,-5361390,-4775769644] 1
62730h (2 curves)	0	2+ 3- 5+ 17+ 41+	2+ 3- 5+ -2 -2 -1 17+ -5
Curve Equation t 62730h1 [1,-1,0,-21105,-20098499] 1 62730h2 [1,-1,0,-4067955,3719027191] 1
62730i (1 curve)	1	2+ 3- 5+ 17+ 41-	2+ 3- 5+  2  0  7 17+ -5
Curve Equation t Generators 62730i1 [1,-1,0,-11985,1044701] 1 [-139:172:1]
62730j (4 curves)	1	2+ 3- 5+ 17- 41+	2+ 3- 5+ -4  0  6 17- -8
Curve Equation t Generators 62730j1 [1,-1,0,-96795,4076325] 2 [295:915:1] 62730j2 [1,-1,0,-1248795,536991525] 4 [342:12069:1] 62730j3 [1,-1,0,-953595,797180805] 2 [547:20679:1] 62730j4 [1,-1,0,-19975995,34369551045] 2 [2637:3654:1]
62730k (4 curves)	0	2+ 3- 5+ 17- 41-	2+ 3- 5+  0  4  2 17-  4
Curve Equation t 62730k1 [1,-1,0,-4995,-92075] 2 62730k2 [1,-1,0,-30915,2028181] 4 62730k3 [1,-1,0,13365,7332925] 2 62730k4 [1,-1,0,-489915,132108781] 2
62730l (2 curves)	0	2+ 3- 5+ 17- 41-	2+ 3- 5+  5  3  5 17-  8
Curve Equation t 62730l1 [1,-1,0,-32490495,-70104160179] 1 62730l2 [1,-1,0,-294274395,1912297134681] 3
62730m (1 curve)	1	2+ 3- 5- 17+ 41+	2+ 3- 5-  1 -1  1 17+ -8
Curve Equation t Generators 62730m1 [1,-1,0,-1179,-8667] 1 [54:261:1]
62730n (2 curves)	1	2+ 3- 5- 17+ 41+	2+ 3- 5- -2  6 -6 17+ -6
Curve Equation t Generators 62730n1 [1,-1,0,-54774,-4917132] 2 [-1074:987:8] 62730n2 [1,-1,0,-43254,-7052940] 2 [316:3122:1]
62730o (1 curve)	0	2+ 3- 5- 17- 41+	2+ 3- 5- -2 -2  3 17- -5
Curve Equation t 62730o1 [1,-1,0,-331479,-87860835] 1
62730p (1 curve)	2	2+ 3- 5- 17- 41+	2+ 3- 5- -3 -5 -1 17-  0
Curve Equation t Generators 62730p1 [1,-1,0,-34434,-966060] 1 [636:-15618:1]&[-164:582:1]
62730q (2 curves)	0	2- 3+ 5+ 17+ 41+	2- 3+ 5+  0 -4  6 17+  4
Curve Equation t 62730q1 [1,-1,1,-1928,-303669] 2 62730q2 [1,-1,1,-80648,-8742453] 2
62730r (1 curve)	1	2- 3+ 5+ 17- 41+	2- 3+ 5+ -1  3 -1 17-  8
Curve Equation t Generators 62730r1 [1,-1,1,-55740176948,-5058808924648553] 1 [-977127816613:2254639648435:6967871]
62730s (2 curves)	1	2- 3+ 5+ 17- 41+	2- 3+ 5+ -4 -6  2 17- -4
Curve Equation t Generators 62730s1 [1,-1,1,79027,10382581] 2 [103:-4480:1] 62730s2 [1,-1,1,-508493,103680757] 2 [-617:13808:1]
62730t (1 curve)	1	2- 3+ 5+ 17- 41+	2- 3+ 5+  5  5 -1 17- -8
Curve Equation t Generators 62730t1 [1,-1,1,-74738,-2724623] 1 [-215:1943:1]
62730u (1 curve)	1	2- 3+ 5- 17- 41-	2- 3+ 5-  1 -4 -4 17-  1
Curve Equation t Generators 62730u1 [1,-1,1,-36722,-2717711] 1 [229:803:1]
62730v (1 curve)	1	2- 3+ 5- 17- 41-	2- 3+ 5- -3 -3  1 17-  0
Curve Equation t Generators 62730v1 [1,-1,1,-107,331] 1 [1:-16:1]
62730w (4 curves)	1	2- 3- 5+ 17+ 41+	2- 3- 5+  0  0 -2 17+  8
Curve Equation t Generators 62730w1 [1,-1,1,1192,29787] 2 [17:225:1] 62730w2 [1,-1,1,-10328,343131] 4 [-25:777:1] 62730w3 [1,-1,1,-47048,-3593253] 2 [-97:273:1] 62730w4 [1,-1,1,-157928,24195291] 2 [251:441:1]
62730x (1 curve)	1	2- 3- 5+ 17+ 41+	2- 3- 5+  3  2  6 17+ -5
Curve Equation t Generators 62730x1 [1,-1,1,3757,-120333] 1 [107:1170:1]
62730y (1 curve)	0	2- 3- 5+ 17- 41+	2- 3- 5+ -5  5 -3 17- -4
Curve Equation t 62730y1 [1,-1,1,-9113,-280483] 1
62730z (1 curve)	1	2- 3- 5+ 17- 41-	2- 3- 5+ -1  3 -3 17-  0
Curve Equation t Generators 62730z1 [1,-1,1,-563,5271] 1 [11:12:1]
62730ba (2 curves)	1	2- 3- 5+ 17- 41-	2- 3- 5+ -4  0 -6 17- -6
Curve Equation t Generators 62730ba1 [1,-1,1,-81248,-8892669] 2 [-165:107:1] 62730ba2 [1,-1,1,-74768,-10375293] 2 [483:7883:1]
62730bb (1 curve)	0	2- 3- 5- 17+ 41+	2- 3- 5- -3  1 -7 17+  0
Curve Equation t 62730bb1 [1,-1,1,-447557,-114377731] 1
62730bc (2 curves)	1	2- 3- 5- 17+ 41-	2- 3- 5- -1 -3  5 17+ -4
Curve Equation t Generators 62730bc1 [1,-1,1,-2372,-41749] 1 [-258:287:8] 62730bc2 [1,-1,1,-32207,2222039] 3 [-201:838:1]
62730bd (1 curve)	1	2- 3- 5- 17+ 41-	2- 3- 5- -2 -2  5 17+  3
Curve Equation t Generators 62730bd1 [1,-1,1,-425612,106979599] 1 [407:821:1]
62730be (2 curves)	1	2- 3- 5- 17+ 41-	2- 3- 5- -2  4 -4 17+  0
Curve Equation t Generators 62730be1 [1,-1,1,-2072,-35081] 2 [-194:263:8] 62730be2 [1,-1,1,178,-108881] 2 [2686:47783:8]
62730bf (2 curves)	1	2- 3- 5- 17+ 41-	2- 3- 5- -4 -2 -4 17+ -2
Curve Equation t Generators 62730bf1 [1,-1,1,-2822,-49579] 2 [-29:99:1] 62730bf2 [1,-1,1,-11822,447221] 2 [151:-1521:1]
62730bg (1 curve)	0	2- 3- 5- 17- 41-	2- 3- 5-  1  0 -2 17-  5
Curve Equation t 62730bg1 [1,-1,1,-617,-6231] 1
62730bh (1 curve)	0	2- 3- 5- 17- 41-	2- 3- 5-  1  6 -2 17-  7
Curve Equation t 62730bh1 [1,-1,1,-392,-4791] 1
62730bi (2 curves)	0	2- 3- 5- 17- 41-	2- 3- 5-  2 -4  0 17- -8
Curve Equation t 62730bi1 [1,-1,1,-12232742,13827499409] 2 62730bi2 [1,-1,1,22923508,78627499409] 2
62730bj (2 curves)	0	2- 3- 5- 17- 41-	2- 3- 5-  4  0 -2 17-  2
Curve Equation t 62730bj1 [1,-1,1,-72932,7175031] 2 62730bj2 [1,-1,1,58288,30059799] 2

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