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SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 116886.r
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
116886.r1 | 116886v1 | \([1, 0, 1, -14039, -6338950]\) | \(-172715635009/9694992384\) | \(-17175270402791424\) | \([]\) | \(844800\) | \(1.7951\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 116886.r1 has rank \(1\).
Complex multiplication
The elliptic curves in class 116886.r do not have complex multiplication.Modular form 116886.2.a.r
sage: E.q_eigenform(10)