Show commands:
SageMath
E = EllipticCurve("bf1")
E.isogeny_class()
Elliptic curves in class 35136.bf
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
35136.bf1 | 35136h1 | \([0, 0, 0, -4428, 119664]\) | \(-1860867/122\) | \(-629493202944\) | \([]\) | \(64512\) | \(1.0166\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 35136.bf1 has rank \(0\).
Complex multiplication
The elliptic curves in class 35136.bf do not have complex multiplication.Modular form 35136.2.a.bf
sage: E.q_eigenform(10)