Show commands:
SageMath
E = EllipticCurve("bc1")
E.isogeny_class()
Elliptic curves in class 33462bc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
33462.c1 | 33462bc1 | \([1, -1, 0, -5812026, 5545542068]\) | \(-2808592297029/92274688\) | \(-713346088987992784896\) | \([]\) | \(2296320\) | \(2.7763\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 33462bc1 has rank \(1\).
Complex multiplication
The elliptic curves in class 33462bc do not have complex multiplication.Modular form 33462.2.a.bc
sage: E.q_eigenform(10)