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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 33635.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
33635.g1 | 33635h1 | \([1, 1, 1, -19240, 984982]\) | \(923521/35\) | \(29851186310435\) | \([]\) | \(85560\) | \(1.3539\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 33635.g1 has rank \(0\).
Complex multiplication
The elliptic curves in class 33635.g do not have complex multiplication.Modular form 33635.2.a.g
sage: E.q_eigenform(10)