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SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 87856r
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
87856.r1 | 87856r1 | \([0, -1, 0, -6165, 189113]\) | \(-4194304/19\) | \(-117405135616\) | \([]\) | \(120960\) | \(0.97568\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 87856r1 has rank \(1\).
Complex multiplication
The elliptic curves in class 87856r do not have complex multiplication.Modular form 87856.2.a.r
sage: E.q_eigenform(10)