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SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 466752r
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
466752.r1 | 466752r1 | \([0, -1, 0, 2018171, -33326435]\) | \(55485236508042386432/32137626273797187\) | \(-526542868869893111808\) | \([]\) | \(17547264\) | \(2.6655\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 466752r1 has rank \(0\).
Complex multiplication
The elliptic curves in class 466752r do not have complex multiplication.Modular form 466752.2.a.r
sage: E.q_eigenform(10)