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SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 466578.r
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
466578.r1 | 466578r1 | \([1, -1, 0, -403818, -98732684]\) | \(-88445874699/65536\) | \(-5396145942233088\) | \([]\) | \(6580224\) | \(1.9524\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 466578.r1 has rank \(0\).
Complex multiplication
The elliptic curves in class 466578.r do not have complex multiplication.Modular form 466578.2.a.r
sage: E.q_eigenform(10)