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SageMath
E = EllipticCurve("bc1")
E.isogeny_class()
Elliptic curves in class 84966.bc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
84966.bc1 | 84966bb1 | \([1, 1, 0, -7152611, 7360932237]\) | \(-6964360655609/1179648\) | \(-6854705615362719744\) | \([]\) | \(4439040\) | \(2.6213\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 84966.bc1 has rank \(0\).
Complex multiplication
The elliptic curves in class 84966.bc do not have complex multiplication.Modular form 84966.2.a.bc
sage: E.q_eigenform(10)