Cremona's table of elliptic curves

12100 = 2² · 5² · 11²

Field	Data	Notes
Atkin-Lehner	2- 5+ 11-	Signs for the Atkin-Lehner involutions
Class	12100g	Isogeny class
Conductor	12100	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	1217948187500000000 = 28 · 512 · 117	Discriminant
Eigenvalues	2-  2 5+ -4 11- -4  0  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-303508,36469512]	[a1,a2,a3,a4,a6]
Generators	[5922:453750:1]	Generators of the group modulo torsion
j	436334416/171875	j-invariant
L	5.642531348403	L(r)(E,1)/r!
Ω	0.24844778951161	Real period
R	3.7851892071536	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	48400cp2 108900ct2 2420g2 1100b2	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 12100g2

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	+	-4	-	-4	0	4	6	6	8	-2	-6	8	-6	6	-12	-2	10	-12	-16	-8	0	6	-14

---

Quadratic twists for elliptic curve 12100g2

-4	-3	5	-11
48400cp2	108900ct2	2420g2	1100b2

---

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