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SageMath
E = EllipticCurve("br1")
E.isogeny_class()
Elliptic curves in class 471510br
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
471510.br1 | 471510br1 | \([1, -1, 0, 148266, -12097292]\) | \(102437538839/77137920\) | \(-271428574736517120\) | \([]\) | \(8110080\) | \(2.0334\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 471510br1 has rank \(0\).
Complex multiplication
The elliptic curves in class 471510br do not have complex multiplication.Modular form 471510.2.a.br
sage: E.q_eigenform(10)