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SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 7098r
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
7098.v1 | 7098r1 | \([1, 1, 1, -15974, 1433063]\) | \(-552611137/777924\) | \(-634576505403204\) | \([]\) | \(49920\) | \(1.5326\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 7098r1 has rank \(0\).
Complex multiplication
The elliptic curves in class 7098r do not have complex multiplication.Modular form 7098.2.a.r
sage: E.q_eigenform(10)