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SageMath
E = EllipticCurve("bw1")
E.isogeny_class()
Elliptic curves in class 155526.bw
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
155526.bw1 | 155526bi1 | \([1, 1, 1, -223686, -55883325]\) | \(-17647062167/8957952\) | \(-628313743148765184\) | \([]\) | \(2032128\) | \(2.1199\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 155526.bw1 has rank \(1\).
Complex multiplication
The elliptic curves in class 155526.bw do not have complex multiplication.Modular form 155526.2.a.bw
sage: E.q_eigenform(10)