Cremona's table of elliptic curves

1950 = 2 · 3 · 5² · 13

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 13-	Signs for the Atkin-Lehner involutions
Class	1950q	Isogeny class
Conductor	1950	Conductor
∏ cp	40	Product of Tamagawa factors cp
Δ	158437500000 = 25 · 3 · 510 · 132	Discriminant
Eigenvalues	2- 3+ 5+ -4  0 13-  2  4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-2163213,1223706531]	[a1,a2,a3,a4,a6]
Generators	[849:-412:1]	Generators of the group modulo torsion
j	71647584155243142409/10140000	j-invariant
L	3.4821169178771	L(r)(E,1)/r!
Ω	0.58618595904462	Real period
R	0.59402939701119	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	15600cl3 62400cp4 5850r3 390g4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1950q4

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

---

Quadratic twists for elliptic curve 1950q4

-4	8	-3	5	-7	13
15600cl3	62400cp4	5850r3	390g4	95550jf4	25350g4

---

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