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SageMath
E = EllipticCurve("bc1")
E.isogeny_class()
Elliptic curves in class 66654bc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
66654.a1 | 66654bc1 | \([1, -1, 0, 166536, 11982784]\) | \(8947391/6272\) | \(-358060378268492928\) | \([]\) | \(1391040\) | \(2.0568\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 66654bc1 has rank \(0\).
Complex multiplication
The elliptic curves in class 66654bc do not have complex multiplication.Modular form 66654.2.a.bc
sage: E.q_eigenform(10)