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SageMath
E = EllipticCurve("br1")
E.isogeny_class()
Elliptic curves in class 400710br
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
400710.br1 | 400710br1 | \([1, 0, 0, 73095, 3953025]\) | \(918046641959/674325000\) | \(-31724213705325000\) | \([]\) | \(5132160\) | \(1.8546\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 400710br1 has rank \(1\).
Complex multiplication
The elliptic curves in class 400710br do not have complex multiplication.Modular form 400710.2.a.br
sage: E.q_eigenform(10)