Show commands:
SageMath
E = EllipticCurve("bf1")
E.isogeny_class()
Elliptic curves in class 134310.bf
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
134310.bf1 | 134310bu1 | \([1, 0, 1, -38981968, 106649163806]\) | \(-30561417707176694041/5237637120000000\) | \(-1122734032127262720000000\) | \([]\) | \(27675648\) | \(3.3412\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 134310.bf1 has rank \(0\).
Complex multiplication
The elliptic curves in class 134310.bf do not have complex multiplication.Modular form 134310.2.a.bf
sage: E.q_eigenform(10)