Cremona's table of elliptic curves

12180 = 2² · 3 · 5 · 7 · 29

Class	r	Atkin-Lehner	Eigenvalues
12180a (2 curves)	1	2- 3+ 5+ 7+ 29-	2- 3+ 5+ 7+  2  2  0  2
Curve Equation t Generators 12180a1 [0,-1,0,-4261,108490] 2 [34:42:1] 12180a2 [0,-1,0,-4236,109800] 2 [41:58:1]
12180b (2 curves)	1	2- 3+ 5+ 7+ 29-	2- 3+ 5+ 7+ -2 -2  0  0
Curve Equation t Generators 12180b1 [0,-1,0,-63481,6177406] 2 [130:324:1] 12180b2 [0,-1,0,-64356,5999256] 2 [173:116:1]
12180c (1 curve)	1	2- 3+ 5+ 7+ 29-	2- 3+ 5+ 7+  5 -4  2 -4
Curve Equation t Generators 12180c1 [0,-1,0,259,441] 1 [0:21:1]
12180d (2 curves)	0	2- 3+ 5+ 7- 29-	2- 3+ 5+ 7-  6  2 -8 -2
Curve Equation t 12180d1 [0,-1,0,-3221,19146] 2 12180d2 [0,-1,0,12404,137896] 2
12180e (2 curves)	1	2- 3+ 5- 7- 29-	2- 3+ 5- 7- -2 -2 -4  0
Curve Equation t Generators 12180e1 [0,-1,0,-145,-350] 2 [-5:15:1] 12180e2 [0,-1,0,-1020,12600] 2 [30:90:1]
12180f (2 curves)	1	2- 3+ 5- 7- 29-	2- 3+ 5- 7- -2 -2 -4 -4
Curve Equation t Generators 12180f1 [0,-1,0,-3574625,2423964102] 2 [4694:298410:1] 12180f2 [0,-1,0,-56096500,161733315352] 2 [4449:14210:1]
12180g (2 curves)	1	2- 3- 5+ 7- 29-	2- 3- 5+ 7-  2 -2 -4  6
Curve Equation t Generators 12180g1 [0,1,0,-701,6540] 2 [-23:105:1] 12180g2 [0,1,0,524,28100] 2 [-16:126:1]
12180h (1 curve)	1	2- 3- 5- 7+ 29-	2- 3- 5- 7+ -3  0 -2  0
Curve Equation t Generators 12180h1 [0,1,0,-394605,96792975] 1 [405:1890:1]
12180i (2 curves)	1	2- 3- 5- 7+ 29-	2- 3- 5- 7+ -6  0 -2  6
Curve Equation t Generators 12180i1 [0,1,0,-5845,-173932] 2 [181:2175:1] 12180i2 [0,1,0,-5220,-211932] 2 [116:870:1]

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