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SageMath
E = EllipticCurve("bw1")
E.isogeny_class()
Elliptic curves in class 236992.bw
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
236992.bw1 | 236992bw1 | \([0, 1, 0, 3527, 624847]\) | \(32000/1127\) | \(-170840521628672\) | \([]\) | \(405504\) | \(1.4109\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 236992.bw1 has rank \(2\).
Complex multiplication
The elliptic curves in class 236992.bw do not have complex multiplication.Modular form 236992.2.a.bw
sage: E.q_eigenform(10)