Show commands:
SageMath
E = EllipticCurve("bc1")
E.isogeny_class()
Elliptic curves in class 230640bc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
230640.bc1 | 230640bc1 | \([0, -1, 0, 1498840, 387138672]\) | \(102437538839/77137920\) | \(-280412929821423697920\) | \([]\) | \(10137600\) | \(2.6117\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 230640bc1 has rank \(0\).
Complex multiplication
The elliptic curves in class 230640bc do not have complex multiplication.Modular form 230640.2.a.bc
sage: E.q_eigenform(10)