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SageMath
E = EllipticCurve("bm1")
E.isogeny_class()
Elliptic curves in class 185562bm
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
185562.h1 | 185562bm1 | \([1, -1, 0, -1299, -18693]\) | \(-1860867/122\) | \(-15899508846\) | \([]\) | \(215040\) | \(0.71002\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 185562bm1 has rank \(1\).
Complex multiplication
The elliptic curves in class 185562bm do not have complex multiplication.Modular form 185562.2.a.bm
sage: E.q_eigenform(10)