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SageMath
E = EllipticCurve("br1")
E.isogeny_class()
Elliptic curves in class 64400.br
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 64400.br1 | 64400cd1 | \([0, 1, 0, -5493, -158557]\) | \(-35806478336/3703\) | \(-1895936000\) | \([]\) | \(39168\) | \(0.81276\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 64400.br1 has rank \(0\).
Complex multiplication
The elliptic curves in class 64400.br do not have complex multiplication.Modular form 64400.2.a.br
sage: E.q_eigenform(10)