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SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 155771r
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
155771.r1 | 155771r1 | \([0, 0, 1, 28322, -421290]\) | \(884736/539\) | \(-1530631100996459\) | \([]\) | \(983040\) | \(1.6029\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 155771r1 has rank \(1\).
Complex multiplication
The elliptic curves in class 155771r do not have complex multiplication.Modular form 155771.2.a.r
sage: E.q_eigenform(10)