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SageMath
E = EllipticCurve("br1")
E.isogeny_class()
Elliptic curves in class 82800br
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
82800.h1 | 82800br1 | \([0, 0, 0, -975, 12125]\) | \(-562432/23\) | \(-4191750000\) | \([]\) | \(61440\) | \(0.61391\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 82800br1 has rank \(1\).
Complex multiplication
The elliptic curves in class 82800br do not have complex multiplication.Modular form 82800.2.a.br
sage: E.q_eigenform(10)