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SageMath
E = EllipticCurve("bm1")
E.isogeny_class()
Elliptic curves in class 27200bm
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
27200.q1 | 27200bm1 | \([0, -1, 0, 2171167, -200674463]\) | \(11053587253415/6565418768\) | \(-672298881843200000000\) | \([]\) | \(1290240\) | \(2.6858\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 27200bm1 has rank \(1\).
Complex multiplication
The elliptic curves in class 27200bm do not have complex multiplication.Modular form 27200.2.a.bm
sage: E.q_eigenform(10)