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SageMath
E = EllipticCurve("bc1")
E.isogeny_class()
Elliptic curves in class 83790bc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
83790.bb1 | 83790bc1 | \([1, -1, 0, -21030, 1258676]\) | \(-11993263569/972800\) | \(-83433282508800\) | \([]\) | \(288288\) | \(1.4175\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 83790bc1 has rank \(1\).
Complex multiplication
The elliptic curves in class 83790bc do not have complex multiplication.Modular form 83790.2.a.bc
sage: E.q_eigenform(10)