Cremona's table of elliptic curves

154 = 2 · 7 · 11

Field	Data	Notes
Atkin-Lehner	2+ 7+ 11+	Signs for the Atkin-Lehner involutions
Class	154a	Isogeny class
Conductor	154	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	24	Modular degree for the optimal curve
Δ	-54208 = -1 · 26 · 7 · 112	Discriminant
Eigenvalues	2+  0 -4 7+ 11+  2 -4 -6	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-29,69]	[a1,a2,a3,a4,a6]
Generators	[2:3:1]	Generators of the group modulo torsion
j	-2749884201/54208	j-invariant
L	0.8716922253566	L(r)(E,1)/r!
Ω	3.5423530688656	Real period
R	0.24607717198437	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	1232k1 4928i1 1386k1 3850r1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 154a1

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

---

Quadratic twists for elliptic curve 154a1

-4	8	-3	5	-7	-11	13	17	-19	-23	29
1232k1	4928i1	1386k1	3850r1	1078c1	1694g1	26026r1	44506n1	55594f1	81466s1	129514j1

---

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