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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 59840.q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
59840.q1 | 59840bp1 | \([0, -1, 0, -18785, -996863]\) | \(-2796665386969/39823520\) | \(-10439496826880\) | \([]\) | \(122880\) | \(1.3033\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 59840.q1 has rank \(1\).
Complex multiplication
The elliptic curves in class 59840.q do not have complex multiplication.Modular form 59840.2.a.q
sage: E.q_eigenform(10)