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SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 7098.r
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
7098.r1 | 7098v1 | \([1, 1, 1, -49, 47]\) | \(77086633/32928\) | \(5564832\) | \([]\) | \(1440\) | \(-0.0091272\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 7098.r1 has rank \(1\).
Complex multiplication
The elliptic curves in class 7098.r do not have complex multiplication.Modular form 7098.2.a.r
sage: E.q_eigenform(10)