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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 7098.t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
7098.t1 | 7098u1 | \([1, 1, 1, -18340, -976201]\) | \(-141339344329/2167074\) | \(-10460052286866\) | \([]\) | \(20160\) | \(1.3007\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 7098.t1 has rank \(1\).
Complex multiplication
The elliptic curves in class 7098.t do not have complex multiplication.Modular form 7098.2.a.t
sage: E.q_eigenform(10)