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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 35520.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
35520.g1 | 35520g1 | \([0, -1, 0, 59, -419]\) | \(1362944/4995\) | \(-81838080\) | \([]\) | \(7680\) | \(0.20123\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 35520.g1 has rank \(0\).
Complex multiplication
The elliptic curves in class 35520.g do not have complex multiplication.Modular form 35520.2.a.g
sage: E.q_eigenform(10)