Cremona's table of elliptic curves

12950 = 2 · 5² · 7 · 37

Field	Data	Notes
Atkin-Lehner	2- 5+ 7+ 37-	Signs for the Atkin-Lehner involutions
Class	12950m	Isogeny class
Conductor	12950	Conductor
∏ cp	44	Product of Tamagawa factors cp
deg	19008	Modular degree for the optimal curve
Δ	-41440000000 = -1 · 211 · 57 · 7 · 37	Discriminant
Eigenvalues	2- -2 5+ 7+  2 -7  4 -6	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-88,9792]	[a1,a2,a3,a4,a6]
Generators	[32:-216:1]	Generators of the group modulo torsion
j	-4826809/2652160	j-invariant
L	4.4034945091728	L(r)(E,1)/r!
Ω	0.92733154323125	Real period
R	0.10792194161141	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	103600br1 116550bn1 2590b1 90650cp1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 12950m1

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	-7	4	-6	-7	9	1	-	12	10	-3	5	-6	4	11	15	-9	-10	-12	9	-2

---

Quadratic twists for elliptic curve 12950m1

-4	-3	5	-7
103600br1	116550bn1	2590b1	90650cp1

---

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