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SageMath
E = EllipticCurve("bm1")
E.isogeny_class()
Elliptic curves in class 39984bm
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
39984.s1 | 39984bm1 | \([0, -1, 0, 2794699, 1625766717]\) | \(5009339741732864/5271114033171\) | \(-2540098743863439273984\) | \([]\) | \(1880064\) | \(2.7939\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 39984bm1 has rank \(1\).
Complex multiplication
The elliptic curves in class 39984bm do not have complex multiplication.Modular form 39984.2.a.bm
sage: E.q_eigenform(10)