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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 479808.q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
479808.q1 | 479808q1 | \([0, 0, 0, -157584, 24245984]\) | \(-307981312/2499\) | \(-3511575124033536\) | \([]\) | \(3932160\) | \(1.8103\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 479808.q1 has rank \(1\).
Complex multiplication
The elliptic curves in class 479808.q do not have complex multiplication.Modular form 479808.2.a.q
sage: E.q_eigenform(10)