Cremona's table of elliptic curves

34314 = 2 · 3 · 7 · 19 · 43

Class	r	Atkin-Lehner	Eigenvalues
34314a (1 curve)	0	2+ 3+ 7- 19+ 43+	2+ 3+ -1 7-  3 -2  3 19+
Curve Equation t 34314a1 [1,1,0,-10927058,12863890866] 1
34314b (2 curves)	0	2+ 3+ 7- 19+ 43+	2+ 3+  2 7-  0  4  0 19+
Curve Equation t 34314b1 [1,1,0,-312914,-67503132] 2 34314b2 [1,1,0,-318934,-64778480] 2
34314c (2 curves)	1	2+ 3+ 7- 19+ 43-	2+ 3+  4 7-  2 -2  6 19+
Curve Equation t Generators 34314c1 [1,1,0,-237688,-42902720] 2 [23830:1270345:8] 34314c2 [1,1,0,-3760248,-2808112320] 2 [91920:4124920:27]
34314d (2 curves)	0	2+ 3+ 7- 19- 43-	2+ 3+  4 7-  0 -4  2 19-
Curve Equation t 34314d1 [1,1,0,-1600623,778771665] 2 34314d2 [1,1,0,-1600133,779272935] 2
34314e (4 curves)	1	2+ 3- 7+ 19- 43+	2+ 3-  2 7+  0 -2  2 19-
Curve Equation t Generators 34314e1 [1,0,1,-48905,-4156084] 2 [281268:4137659:729] 34314e2 [1,0,1,-69385,-346804] 4 [1420:51872:1] 34314e3 [1,0,1,277175,-2703412] 2 [171420:6711392:125] 34314e4 [1,0,1,-743625,245885644] 4 [403:3218:1]
34314f (1 curve)	1	2+ 3- 7+ 19- 43+	2+ 3-  2 7+ -1 -5  1 19-
Curve Equation t Generators 34314f1 [1,0,1,-9055,-667882] 1 [193:-2284:1]
34314g (2 curves)	0	2+ 3- 7+ 19- 43-	2+ 3- -2 7+  6 -2  0 19-
Curve Equation t 34314g1 [1,0,1,-4032318482,-98309313836764] 2 34314g2 [1,0,1,-2408748562,-178216229875420] 2
34314h (1 curve)	0	2+ 3- 7+ 19- 43-	2+ 3-  3 7+  1 -2  5 19-
Curve Equation t 34314h1 [1,0,1,-22,32] 1
34314i (2 curves)	2	2+ 3- 7- 19+ 43-	2+ 3- -2 7- -2 -6 -6 19+
Curve Equation t Generators 34314i1 [1,0,1,2748,-2750] 2 [44:-474:1]&[10:155:1] 34314i2 [1,0,1,-11012,-24766] 2 [-39:607:1]&[-88:558:1]
34314j (1 curve)	0	2+ 3- 7- 19- 43+	2+ 3-  1 7-  1 -6 -7 19-
Curve Equation t 34314j1 [1,0,1,-150024858,-707283050420] 1
34314k (4 curves)	0	2+ 3- 7- 19- 43+	2+ 3- -2 7-  4  6  2 19-
Curve Equation t 34314k1 [1,0,1,-124932312,-537487841114] 2 34314k2 [1,0,1,-125259992,-534526662490] 4 34314k3 [1,0,1,-28733912,-1337623648090] 2 34314k4 [1,0,1,-227028952,458087065766] 4
34314l (1 curve)	1	2+ 3- 7- 19- 43-	2+ 3-  2 7-  3  1  1 19-
Curve Equation t Generators 34314l1 [1,0,1,20,14] 1 [1:5:1]
34314m (3 curves)	1	2+ 3- 7- 19- 43-	2+ 3- -3 7-  3 -4 -3 19-
Curve Equation t Generators 34314m1 [1,0,1,-5520,157372] 3 [-64:531:1] 34314m2 [1,0,1,-8625,-39620] 3 [-88:243:1] 34314m3 [1,0,1,-511080,-140673098] 1 [-26444:14219:64]
34314n (2 curves)	1	2- 3+ 7+ 19- 43+	2- 3+ -2 7+  4  0  0 19-
Curve Equation t Generators 34314n1 [1,1,1,-349369,53518727] 2 [31:-6552:1] 34314n2 [1,1,1,-5069049,4389960711] 2 [1403:5796:1]
34314o (2 curves)	1	2- 3+ 7+ 19- 43+	2- 3+ -2 7+  6  2 -6 19-
Curve Equation t Generators 34314o1 [1,1,1,-49,191] 2 [14:75:8] 34314o2 [1,1,1,-909,10167] 2 [15:6:1]
34314p (4 curves)	1	2- 3+ 7- 19+ 43+	2- 3+  2 7-  0  2 -2 19+
Curve Equation t Generators 34314p1 [1,1,1,-6377,2903] 4 [-49:472:1] 34314p2 [1,1,1,-69097,-6996649] 4 [-147:178:1] 34314p3 [1,1,1,-37177,-13444489] 2 [3045:166162:1] 34314p4 [1,1,1,-1104537,-447265737] 2 [1071007:55363370:343]
34314q (2 curves)	0	2- 3+ 7- 19+ 43-	2- 3+  0 7-  0 -2  8 19+
Curve Equation t 34314q1 [1,1,1,-48158173,-115026871885] 2 34314q2 [1,1,1,67473987,-582597074061] 2
34314r (2 curves)	0	2- 3+ 7- 19+ 43-	2- 3+ -4 7-  0 -2  4 19+
Curve Equation t 34314r1 [1,1,1,-665,-3229] 2 34314r2 [1,1,1,2345,-21289] 2
34314s (1 curve)	0	2- 3- 7+ 19- 43+	2- 3-  2 7+  3 -1  7 19-
Curve Equation t 34314s1 [1,0,0,-1207542,-603462492] 1
34314t (2 curves)	1	2- 3- 7+ 19- 43-	2- 3-  0 7+  4 -2  2 19-
Curve Equation t Generators 34314t1 [1,0,0,-35683,-2376319] 2 [-100:491:1] 34314t2 [1,0,0,42077,-11287615] 2 [368:-7537:1]
34314u (2 curves)	1	2- 3- 7+ 19- 43-	2- 3-  0 7+  4 -4 -6 19-
Curve Equation t Generators 34314u1 [1,0,0,-1673,-9831] 2 [-24:141:1] 34314u2 [1,0,0,6167,-74119] 2 [302:-5569:1]
34314v (1 curve)	1	2- 3- 7+ 19- 43-	2- 3-  1 7+  3 -2  3 19-
Curve Equation t Generators 34314v1 [1,0,0,-10996650,-14036763996] 1 [-1914:960:1]
34314w (1 curve)	1	2- 3- 7+ 19- 43-	2- 3- -1 7+ -1 -4 -5 19-
Curve Equation t Generators 34314w1 [1,0,0,-193981,26520689] 1 [-158:7375:1]
34314x (1 curve)	1	2- 3- 7+ 19- 43-	2- 3- -3 7+ -5  2  3 19-
Curve Equation t Generators 34314x1 [1,0,0,-46962962,123843240324] 1 [-5786:452200:1]
34314y (4 curves)	0	2- 3- 7- 19+ 43+	2- 3-  2 7-  4 -2 -6 19+
Curve Equation t 34314y1 [1,0,0,-1602,10692] 4 34314y2 [1,0,0,-13122,-572220] 4 34314y3 [1,0,0,-1362,-1557708] 2 34314y4 [1,0,0,-209202,-36847020] 2
34314z (2 curves)	1	2- 3- 7- 19+ 43-	2- 3-  0 7-  2 -6 -2 19+
Curve Equation t Generators 34314z1 [1,0,0,-753,-6039] 2 [-18:51:1] 34314z2 [1,0,0,-4193,99225] 2 [-56:427:1]
34314ba (2 curves)	1	2- 3- 7- 19- 43+	2- 3-  0 7- -2 -2  2 19-
Curve Equation t Generators 34314ba1 [1,0,0,-180663,29064105] 2 [-42:-6027:1] 34314ba2 [1,0,0,-2877623,1878639273] 2 [994:-1295:1]
34314bb (1 curve)	1	2- 3- 7- 19- 43+	2- 3- -1 7- -5  6 -1 19-
Curve Equation t Generators 34314bb1 [1,0,0,-1266,14724] 1 [-12:-162:1]

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