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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 31790q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
31790.n1 | 31790q1 | \([1, 1, 1, 1439, -26007]\) | \(13651919/20570\) | \(-496509794330\) | \([]\) | \(36864\) | \(0.92962\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 31790q1 has rank \(1\).
Complex multiplication
The elliptic curves in class 31790q do not have complex multiplication.Modular form 31790.2.a.q
sage: E.q_eigenform(10)