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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 67280.q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
67280.q1 | 67280v1 | \([0, 0, 0, -37787, -2640566]\) | \(1732187934441/128000000\) | \(440926208000000\) | \([]\) | \(224640\) | \(1.5559\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 67280.q1 has rank \(1\).
Complex multiplication
The elliptic curves in class 67280.q do not have complex multiplication.Modular form 67280.2.a.q
sage: E.q_eigenform(10)