Show commands:
SageMath
E = EllipticCurve("bc1")
E.isogeny_class()
Elliptic curves in class 141512bc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
141512.j1 | 141512bc1 | \([0, -1, 0, -7506032, -7912727339]\) | \(1462911232\) | \(31969587331369744\) | \([]\) | \(3677184\) | \(2.4819\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 141512bc1 has rank \(0\).
Complex multiplication
The elliptic curves in class 141512bc do not have complex multiplication.Modular form 141512.2.a.bc
sage: E.q_eigenform(10)