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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 42978g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
42978.q1 | 42978g1 | \([1, 1, 1, -15841497, -24275349657]\) | \(-439655359968121653909099793/5796433348716920832\) | \(-5796433348716920832\) | \([]\) | \(2265408\) | \(2.7442\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 42978g1 has rank \(1\).
Complex multiplication
The elliptic curves in class 42978g do not have complex multiplication.Modular form 42978.2.a.g
sage: E.q_eigenform(10)