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SageMath
E = EllipticCurve("bm1")
E.isogeny_class()
Elliptic curves in class 90480bm
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
90480.t1 | 90480bm1 | \([0, -1, 0, -5, 12525]\) | \(-4096/16540875\) | \(-67751424000\) | \([]\) | \(69120\) | \(0.75714\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 90480bm1 has rank \(1\).
Complex multiplication
The elliptic curves in class 90480bm do not have complex multiplication.Modular form 90480.2.a.bm
sage: E.q_eigenform(10)