Cremona's table of elliptic curves

10150 = 2 · 5² · 7 · 29

Field	Data	Notes
Atkin-Lehner	2+ 5+ 7+ 29+	Signs for the Atkin-Lehner involutions
Class	10150a	Isogeny class
Conductor	10150	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-1275152494393750000 = -1 · 24 · 58 · 73 · 296	Discriminant
Eigenvalues	2+  2 5+ 7+  0 -2  0  2	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-808500,-285376000]	[a1,a2,a3,a4,a6]
Generators	[866200312396770780:33463513236316975760:432132656281227]	Generators of the group modulo torsion
j	-3740628669743972161/81609759641200	j-invariant
L	4.4519502340321	L(r)(E,1)/r!
Ω	0.079503943671562	Real period
R	27.998298124829	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	81200bp3 91350ed3 2030b3 71050o3	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 10150a3

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

---

Quadratic twists for elliptic curve 10150a3

-4	-3	5	-7
81200bp3	91350ed3	2030b3	71050o3

---

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