Cremona's table of elliptic curves

1232 = 2⁴ · 7 · 11

Field	Data	Notes
Atkin-Lehner	2+ 7+ 11-	Signs for the Atkin-Lehner involutions
Class	1232d	Isogeny class
Conductor	1232	Conductor
∏ cp	12	Product of Tamagawa factors cp
deg	1920	Modular degree for the optimal curve
Δ	-7622304186112 = -1 · 28 · 75 · 116	Discriminant
Eigenvalues	2+ -2  2 7+ 11-  0  4 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,3828,-95348]	[a1,a2,a3,a4,a6]
j	24226243449392/29774625727	j-invariant
L	1.1919887670861	L(r)(E,1)/r!
Ω	0.39732958902871	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	616b1 4928u1 11088m1 30800n1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1232d1

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
+	-2	2	+	-	0	4	-4	4	2	2	-6	4	4	-2	2	6	4	0	12	16	8	12	10	-2

---

Quadratic twists for elliptic curve 1232d1

-4	8	-3	5	-7	-11
616b1	4928u1	11088m1	30800n1	8624i1	13552h1

---

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