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SageMath
E = EllipticCurve("bm1")
E.isogeny_class()
Elliptic curves in class 142296bm
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
142296.bi1 | 142296bm1 | \([0, -1, 0, 4800, -290772]\) | \(68782/243\) | \(-43200464541696\) | \([]\) | \(324000\) | \(1.2994\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 142296bm1 has rank \(0\).
Complex multiplication
The elliptic curves in class 142296bm do not have complex multiplication.Modular form 142296.2.a.bm
sage: E.q_eigenform(10)