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SageMath
E = EllipticCurve("be1")
E.isogeny_class()
Elliptic curves in class 273273be
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
273273.be1 | 273273be1 | \([0, 1, 1, -11041, 11418502]\) | \(-262144/99099\) | \(-56275275008011059\) | \([]\) | \(1806336\) | \(1.8932\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 273273be1 has rank \(1\).
Complex multiplication
The elliptic curves in class 273273be do not have complex multiplication.Modular form 273273.2.a.be
sage: E.q_eigenform(10)