Show commands:
SageMath
E = EllipticCurve("bw1")
E.isogeny_class()
Elliptic curves in class 155526bw
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
155526.w1 | 155526bw1 | \([1, 0, 1, -6095, 447122]\) | \(-3451273/9936\) | \(-72073345062096\) | \([]\) | \(608256\) | \(1.3461\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 155526bw1 has rank \(2\).
Complex multiplication
The elliptic curves in class 155526bw do not have complex multiplication.Modular form 155526.2.a.bw
sage: E.q_eigenform(10)