Cremona's table of elliptic curves

30940 = 2² · 5 · 7 · 13 · 17

Class	r	Atkin-Lehner	Eigenvalues
30940a (2 curves)	0	2- 5+ 7+ 13+ 17+	2-  2 5+ 7+  4 13+ 17+  0
Curve Equation t 30940a1 [0,-1,0,-1040508901,-12918273942990] 2 30940a2 [0,-1,0,-1051013276,-12644113957240] 2
30940b (2 curves)	1	2- 5+ 7+ 13+ 17-	2-  0 5+ 7+ -6 13+ 17- -4
Curve Equation t Generators 30940b1 [0,0,0,-3988,79557] 2 [7:228:1] 30940b2 [0,0,0,8017,466118] 2 [-26:490:1]
30940c (1 curve)	0	2- 5+ 7- 13- 17+	2-  2 5+ 7- -3 13- 17+  0
Curve Equation t 30940c1 [0,-1,0,1014,-16939] 1
30940d (2 curves)	0	2- 5+ 7- 13- 17+	2- -2 5+ 7- -3 13- 17+  8
Curve Equation t 30940d1 [0,1,0,-43706,3502369] 3 30940d2 [0,1,0,-41046,3950005] 1
30940e (4 curves)	1	2- 5+ 7- 13- 17-	2- -2 5+ 7-  0 13- 17-  8
Curve Equation t Generators 30940e1 [0,1,0,-21301,1189524] 6 [-85:1547:1] 30940e2 [0,1,0,-21476,1168804] 6 [570:589:8] 30940e3 [0,1,0,-26741,529720] 2 [-44:1274:1] 30940e4 [0,1,0,-241116,-45260780] 2 [579:3094:1]
30940f (2 curves)	1	2- 5+ 7- 13- 17-	2- -2 5+ 7-  3 13- 17- -4
Curve Equation t Generators 30940f1 [0,1,0,34,289] 3 [-3:13:1] 30940f2 [0,1,0,-306,-8075] 1 [29:91:1]
30940g (2 curves)	1	2- 5- 7+ 13+ 17+	2- -2 5- 7+  4 13+ 17+ -4
Curve Equation t Generators 30940g1 [0,1,0,-365,-1100] 2 [-5:25:1] 30940g2 [0,1,0,-4740,-127100] 2 [-40:10:1]
30940h (1 curve)	0	2- 5- 7+ 13+ 17-	2-  2 5- 7+  1 13+ 17-  0
Curve Equation t 30940h1 [0,-1,0,-4590,-1680535] 1
30940i (2 curves)	2	2- 5- 7+ 13- 17+	2- -2 5- 7+  0 13- 17+ -6
Curve Equation t Generators 30940i1 [0,1,0,-1825,29400] 2 [-40:200:1]&[-25:245:1] 30940i2 [0,1,0,-1580,37828] 2 [-32:238:1]&[16:-130:1]
30940j (1 curve)	1	2- 5- 7+ 13- 17-	2- -2 5- 7+  1 13- 17-  4
Curve Equation t Generators 30940j1 [0,1,0,-58570,5437725] 1 [205:-1445:1]
30940k (4 curves)	1	2- 5- 7- 13- 17+	2- -2 5- 7-  0 13- 17+  2
Curve Equation t Generators 30940k1 [0,1,0,-1111825,-449640000] 6 [-640:440:1] 30940k2 [0,1,0,-523580,-923530172] 6 [1216:15470:1] 30940k3 [0,1,0,-89948825,-328383262100] 2 [210125400:-18631448605:13824] 30940k4 [0,1,0,-89948580,-328385140172] 2 [1096324:113727705:64]
30940l (2 curves)	0	2- 5- 7- 13- 17-	2-  2 5- 7-  0 13- 17-  0
Curve Equation t 30940l1 [0,-1,0,-85,-258] 2 30940l2 [0,-1,0,-260,1352] 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