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SageMath
E = EllipticCurve("bm1")
E.isogeny_class()
Elliptic curves in class 270480bm
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
270480.bm1 | 270480bm1 | \([0, -1, 0, -55141, -4972295]\) | \(-615640662016/978075\) | \(-29457803692800\) | \([]\) | \(1013760\) | \(1.4825\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 270480bm1 has rank \(0\).
Complex multiplication
The elliptic curves in class 270480bm do not have complex multiplication.Modular form 270480.2.a.bm
sage: E.q_eigenform(10)