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SageMath
E = EllipticCurve("br1")
E.isogeny_class()
Elliptic curves in class 372810.br
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
372810.br1 | 372810br1 | \([1, 0, 1, -34546633, 78343256468]\) | \(-188906692800760971049/535400390625000\) | \(-12923263871337890625000\) | \([]\) | \(61171200\) | \(3.1147\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 372810.br1 has rank \(0\).
Complex multiplication
The elliptic curves in class 372810.br do not have complex multiplication.Modular form 372810.2.a.br
sage: E.q_eigenform(10)