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SageMath
E = EllipticCurve("bw1")
E.isogeny_class()
Elliptic curves in class 57150.bw
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
57150.bw1 | 57150bn1 | \([1, -1, 1, -14855, 997647]\) | \(-31824875809/19050000\) | \(-216991406250000\) | \([]\) | \(337920\) | \(1.4532\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 57150.bw1 has rank \(1\).
Complex multiplication
The elliptic curves in class 57150.bw do not have complex multiplication.Modular form 57150.2.a.bw
sage: E.q_eigenform(10)