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SageMath
E = EllipticCurve("bm1")
E.isogeny_class()
Elliptic curves in class 83790bm
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
83790.v1 | 83790bm1 | \([1, -1, 0, -114867720, 498275211496]\) | \(-5697808233311360503/348201421875000\) | \(-10243312651349830828125000\) | \([]\) | \(21288960\) | \(3.5538\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 83790bm1 has rank \(0\).
Complex multiplication
The elliptic curves in class 83790bm do not have complex multiplication.Modular form 83790.2.a.bm
sage: E.q_eigenform(10)