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SageMath
E = EllipticCurve("bw1")
E.isogeny_class()
Elliptic curves in class 37485bw
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
37485.f1 | 37485bw1 | \([0, 0, 1, -147, 10890]\) | \(-4096/595\) | \(-51030841995\) | \([]\) | \(32256\) | \(0.73404\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 37485bw1 has rank \(1\).
Complex multiplication
The elliptic curves in class 37485bw do not have complex multiplication.Modular form 37485.2.a.bw
sage: E.q_eigenform(10)