Show commands:
SageMath
E = EllipticCurve("bc1")
E.isogeny_class()
Elliptic curves in class 286110.bc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
286110.bc1 | 286110bc1 | \([1, -1, 0, -14017702005, -1230459041673675]\) | \(-17311437234395043487224049/27152400000000000000000\) | \(-477781444887872400000000000000000\) | \([]\) | \(1250242560\) | \(4.9619\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 286110.bc1 has rank \(0\).
Complex multiplication
The elliptic curves in class 286110.bc do not have complex multiplication.Modular form 286110.2.a.bc
sage: E.q_eigenform(10)