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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 16731j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
16731.g1 | 16731j1 | \([0, 0, 1, 1014, 1732]\) | \(5537792/3267\) | \(-68022105723\) | \([]\) | \(10368\) | \(0.76796\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 16731j1 has rank \(1\).
Complex multiplication
The elliptic curves in class 16731j do not have complex multiplication.Modular form 16731.2.a.j
sage: E.q_eigenform(10)