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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 73283g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
73283.j1 | 73283g1 | \([1, 0, 1, -8, 12439]\) | \(-1/1421\) | \(-66852196901\) | \([]\) | \(55296\) | \(0.75603\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 73283g1 has rank \(1\).
Complex multiplication
The elliptic curves in class 73283g do not have complex multiplication.Modular form 73283.2.a.g
sage: E.q_eigenform(10)