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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 42135g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
42135.h1 | 42135g1 | \([0, 1, 1, -35, -91]\) | \(1736704/45\) | \(126405\) | \([]\) | \(3456\) | \(-0.23916\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 42135g1 has rank \(1\).
Complex multiplication
The elliptic curves in class 42135g do not have complex multiplication.Modular form 42135.2.a.g
sage: E.q_eigenform(10)