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SageMath
E = EllipticCurve("bc1")
E.isogeny_class()
Elliptic curves in class 281775.bc
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 281775.bc1 | 281775bc1 | \([0, 1, 1, -6960083, -7635694756]\) | \(-47349760/4563\) | \(-3593351628026869921875\) | \([]\) | \(12558240\) | \(2.8774\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 281775.bc1 has rank \(0\).
Complex multiplication
The elliptic curves in class 281775.bc do not have complex multiplication.Modular form 281775.2.a.bc
sage: E.q_eigenform(10)