Cremona's table of elliptic curves

23478 = 2 · 3 · 7 · 13 · 43

Class	r	Atkin-Lehner	Eigenvalues
23478a (2 curves)	1	2+ 3+ 7+ 13+ 43+	2+ 3+  0 7+  6 13+  0  4
Curve Equation t Generators 23478a1 [1,1,0,-65,117] 2 [-1:14:1] 23478a2 [1,1,0,175,1029] 2 [-2:27:1]
23478b (2 curves)	1	2+ 3+ 7+ 13- 43-	2+ 3+  0 7+  0 13-  6  0
Curve Equation t Generators 23478b1 [1,1,0,165,333] 2 [2:25:1] 23478b2 [1,1,0,-695,1881] 2 [-20:101:1]
23478c (2 curves)	1	2+ 3+ 7+ 13- 43-	2+ 3+ -2 7+ -2 13-  6  2
Curve Equation t Generators 23478c1 [1,1,0,-93781,10993645] 2 [-342:1963:1] 23478c2 [1,1,0,-60501,18947565] 2 [-329:2002:1]
23478d (1 curve)	1	2+ 3+ 7+ 13- 43-	2+ 3+ -3 7+  0 13-  0 -3
Curve Equation t Generators 23478d1 [1,1,0,-7409,-406059] 1 [115:471:1]
23478e (4 curves)	0	2+ 3+ 7- 13+ 43+	2+ 3+  2 7-  0 13+ -6 -8
Curve Equation t 23478e1 [1,1,0,-124334,16822452] 2 23478e2 [1,1,0,-129454,15355060] 4 23478e3 [1,1,0,222066,84604500] 2 23478e4 [1,1,0,-562894,-147705068] 2
23478f (2 curves)	1	2+ 3+ 7- 13- 43+	2+ 3+  0 7- -2 13- -4  0
Curve Equation t Generators 23478f1 [1,1,0,-3990,95364] 2 [33:15:1] 23478f2 [1,1,0,-3930,98448] 2 [2:300:1]
23478g (4 curves)	1	2+ 3+ 7- 13- 43+	2+ 3+  2 7-  0 13-  2 -4
Curve Equation t Generators 23478g1 [1,1,0,3771,-38835] 2 [235:3610:1] 23478g2 [1,1,0,-16709,-346035] 4 [-37:491:1] 23478g3 [1,1,0,-140549,19988493] 4 [-334:5627:1] 23478g4 [1,1,0,-220549,-39931763] 2 [27183:730631:27]
23478h (1 curve)	0	2+ 3+ 7- 13- 43-	2+ 3+  1 7-  0 13- -8  5
Curve Equation t 23478h1 [1,1,0,1173023,606334933] 1
23478i (1 curve)	2	2+ 3+ 7- 13- 43-	2+ 3+ -2 7- -3 13-  0  1
Curve Equation t Generators 23478i1 [1,1,0,-166341,26097921] 1 [-100:6511:1]&[75:3711:1]
23478j (2 curves)	0	2+ 3+ 7- 13- 43-	2+ 3+ -2 7-  6 13- -2  2
Curve Equation t 23478j1 [1,1,0,-1176,-16020] 2 23478j2 [1,1,0,-1046,-19530] 2
23478k (2 curves)	0	2+ 3+ 7- 13- 43-	2+ 3+  4 7-  0 13- -2 -4
Curve Equation t 23478k1 [1,1,0,-234888,43686720] 2 23478k2 [1,1,0,-3757448,2801851200] 2
23478l (1 curve)	1	2+ 3- 7+ 13+ 43-	2+ 3- -2 7+ -3 13+  8  7
Curve Equation t Generators 23478l1 [1,0,1,298,1244] 1 [51:361:1]
23478m (2 curves)	1	2+ 3- 7+ 13+ 43-	2+ 3-  4 7+  0 13+  2  4
Curve Equation t Generators 23478m1 [1,0,1,-27876514,56604861044] 2 [2395634792415:-4061170622621:766060875] 23478m2 [1,0,1,-34237074,28847377204] 2 [99805:5568501:125]
23478n (2 curves)	1	2+ 3- 7- 13+ 43+	2+ 3-  0 7- -4 13+ -2  4
Curve Equation t Generators 23478n1 [1,0,1,-4376,110054] 2 [57:187:1] 23478n2 [1,0,1,-7816,-88090] 2 [-35:395:1]
23478o (4 curves)	1	2+ 3- 7- 13+ 43+	2+ 3-  2 7-  0 13+  2  0
Curve Equation t Generators 23478o1 [1,0,1,-190,224] 2 [-14:20:1] 23478o2 [1,0,1,-1810,-29584] 4 [-26:20:1] 23478o3 [1,0,1,-640,-67024] 2 [52:176:1] 23478o4 [1,0,1,-28900,-1893376] 2 [958:28673:1]
23478p (2 curves)	1	2+ 3- 7- 13+ 43+	2+ 3- -4 7-  4 13+ -2  4
Curve Equation t Generators 23478p1 [1,0,1,-86665933,283285341512] 2 [7014:139618:1] 23478p2 [1,0,1,-312109773,-1808382606008] 2 [-12829:296718:1]
23478q (2 curves)	1	2+ 3- 7- 13+ 43+	2+ 3- -4 7- -6 13+ -4 -4
Curve Equation t Generators 23478q1 [1,0,1,-184068,-29969918] 2 [-250:786:1] 23478q2 [1,0,1,-9108,-84557438] 2 [4133:-267549:1]
23478r (4 curves)	0	2+ 3- 7- 13- 43+	2+ 3-  2 7-  0 13- -6  4
Curve Equation t 23478r1 [1,0,1,-1090510,-438411904] 2 23478r2 [1,0,1,-1090590,-438344384] 4 23478r3 [1,0,1,-946530,-558317552] 2 23478r4 [1,0,1,-1235930,-314049616] 4
23478s (4 curves)	1	2- 3+ 7- 13- 43-	2- 3+ -2 7- -4 13- -6 -4
Curve Equation t Generators 23478s1 [1,1,1,7696,-1277359] 4 [89:305:1] 23478s2 [1,1,1,-140224,-19027759] 4 [-257:471:1] 23478s3 [1,1,1,-442084,90124817] 2 [529:1891:1] 23478s4 [1,1,1,-2205084,-1261247535] 2 [-859:471:1]
23478t (4 curves)	0	2- 3- 7- 13- 43-	2- 3-  0 7-  0 13- -6 -4
Curve Equation t 23478t1 [1,0,0,-9568,349184] 6 23478t2 [1,0,0,-23328,-886464] 6 23478t3 [1,0,0,-106288,-13228432] 2 23478t4 [1,0,0,-1696428,-850596156] 2
23478u (2 curves)	0	2- 3- 7- 13- 43-	2- 3-  3 7-  0 13-  0 -1
Curve Equation t 23478u1 [1,0,0,-39,1521] 3 23478u2 [1,0,0,351,-40989] 1
23478v (2 curves)	0	2- 3- 7- 13- 43-	2- 3-  3 7-  0 13-  0 -7
Curve Equation t 23478v1 [1,0,0,-814034,-284730108] 3 23478v2 [1,0,0,-66064394,-206685907188] 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