Show commands:
SageMath
E = EllipticCurve("bc1")
E.isogeny_class()
Elliptic curves in class 103056.bc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
103056.bc1 | 103056be1 | \([0, 1, 0, -1928, 33012]\) | \(-193602111625/7420032\) | \(-30392451072\) | \([]\) | \(153216\) | \(0.78115\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 103056.bc1 has rank \(2\).
Complex multiplication
The elliptic curves in class 103056.bc do not have complex multiplication.Modular form 103056.2.a.bc
sage: E.q_eigenform(10)