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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 308763.n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
308763.n1 | 308763n1 | \([0, 0, 1, -4801368, -2014863575]\) | \(99358370463056134144/43263947711229021\) | \(5330161621971126616221\) | \([]\) | \(11059200\) | \(2.8651\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 308763.n1 has rank \(0\).
Complex multiplication
The elliptic curves in class 308763.n do not have complex multiplication.Modular form 308763.2.a.n
sage: E.q_eigenform(10)