Show commands:
SageMath
E = EllipticCurve("bw1")
E.isogeny_class()
Elliptic curves in class 344760.bw
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
344760.bw1 | 344760bw1 | \([0, 1, 0, 412304, -9558496]\) | \(4639792222/2709375\) | \(-4526326624684800000\) | \([]\) | \(4892160\) | \(2.2691\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 344760.bw1 has rank \(1\).
Complex multiplication
The elliptic curves in class 344760.bw do not have complex multiplication.Modular form 344760.2.a.bw
sage: E.q_eigenform(10)