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SageMath
E = EllipticCurve("br1")
E.isogeny_class()
Elliptic curves in class 378560br
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 378560.br1 | 378560br1 | \([0, -1, 0, -15829441, -25432654495]\) | \(-693346671296498/40610171875\) | \(-25692411408914432000000\) | \([]\) | \(33546240\) | \(3.0561\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 378560br1 has rank \(0\).
Complex multiplication
The elliptic curves in class 378560br do not have complex multiplication.Modular form 378560.2.a.br
sage: E.q_eigenform(10)