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SageMath
E = EllipticCurve("bc1")
E.isogeny_class()
Elliptic curves in class 468270.bc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
468270.bc1 | 468270bc1 | \([1, -1, 0, -83975535, -296173833939]\) | \(-38099594936018771/18933760\) | \(-32546070626308208640\) | \([]\) | \(47393280\) | \(3.0781\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 468270.bc1 has rank \(0\).
Complex multiplication
The elliptic curves in class 468270.bc do not have complex multiplication.Modular form 468270.2.a.bc
sage: E.q_eigenform(10)