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SageMath
E = EllipticCurve("br1")
E.isogeny_class()
Elliptic curves in class 234416br
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
234416.br1 | 234416br1 | \([0, 1, 0, -53769, 7207283]\) | \(-570820369408/418447211\) | \(-12602853357296384\) | \([]\) | \(1351680\) | \(1.7889\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 234416br1 has rank \(0\).
Complex multiplication
The elliptic curves in class 234416br do not have complex multiplication.Modular form 234416.2.a.br
sage: E.q_eigenform(10)