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SageMath
E = EllipticCurve("br1")
E.isogeny_class()
Elliptic curves in class 59840.br
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
59840.br1 | 59840bj1 | \([0, 0, 0, -652, -1651696]\) | \(-233860338/8991404125\) | \(-1178521321472000\) | \([]\) | \(442368\) | \(1.5708\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 59840.br1 has rank \(0\).
Complex multiplication
The elliptic curves in class 59840.br do not have complex multiplication.Modular form 59840.2.a.br
sage: E.q_eigenform(10)