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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 40656.q
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 40656.q1 | 40656h1 | \([0, -1, 0, 5284, -1148541]\) | \(575511296/20376279\) | \(-577565139224304\) | \([]\) | \(161280\) | \(1.5124\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 40656.q1 has rank \(0\).
Complex multiplication
The elliptic curves in class 40656.q do not have complex multiplication.Modular form 40656.2.a.q
sage: E.q_eigenform(10)