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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 816.j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
816.j1 | 816d1 | \([0, 1, 0, 511, 1899]\) | \(57530252288/38336139\) | \(-9814051584\) | \([]\) | \(480\) | \(0.60601\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 816.j1 has rank \(0\).
Complex multiplication
The elliptic curves in class 816.j do not have complex multiplication.Modular form 816.2.a.j
sage: E.q_eigenform(10)