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SageMath
E = EllipticCurve("br1")
E.isogeny_class()
Elliptic curves in class 51600br
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
51600.v1 | 51600br1 | \([0, -1, 0, -18008, -1705488]\) | \(-10091699281/13932000\) | \(-891648000000000\) | \([]\) | \(276480\) | \(1.5611\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 51600br1 has rank \(0\).
Complex multiplication
The elliptic curves in class 51600br do not have complex multiplication.Modular form 51600.2.a.br
sage: E.q_eigenform(10)