Show commands:
SageMath
E = EllipticCurve("bf1")
E.isogeny_class()
Elliptic curves in class 274890.bf
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
274890.bf1 | 274890bf1 | \([1, 1, 0, -140312, 24534336]\) | \(-2596717791529849/718080000000\) | \(-84481393920000000\) | \([]\) | \(4656960\) | \(1.9637\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 274890.bf1 has rank \(1\).
Complex multiplication
The elliptic curves in class 274890.bf do not have complex multiplication.Modular form 274890.2.a.bf
sage: E.q_eigenform(10)