Show commands:
SageMath
E = EllipticCurve("bc1")
E.isogeny_class()
Elliptic curves in class 296208.bc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
296208.bc1 | 296208bc1 | \([0, 0, 0, -6501, 201751]\) | \(21529370368/153\) | \(215935632\) | \([]\) | \(221184\) | \(0.77787\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 296208.bc1 has rank \(1\).
Complex multiplication
The elliptic curves in class 296208.bc do not have complex multiplication.Modular form 296208.2.a.bc
sage: E.q_eigenform(10)