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SageMath
E = EllipticCurve("z1")
E.isogeny_class()
Elliptic curves in class 7098.z
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
7098.z1 | 7098bb1 | \([1, 0, 0, -1271, -20151]\) | \(-47045881/8736\) | \(-42167003424\) | \([]\) | \(6720\) | \(0.76322\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 7098.z1 has rank \(0\).
Complex multiplication
The elliptic curves in class 7098.z do not have complex multiplication.Modular form 7098.2.a.z
sage: E.q_eigenform(10)