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SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 97020.x
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
97020.x1 | 97020be1 | \([0, 0, 0, 3087, -64827]\) | \(48384/55\) | \(-3698235137520\) | \([]\) | \(161280\) | \(1.0980\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 97020.x1 has rank \(0\).
Complex multiplication
The elliptic curves in class 97020.x do not have complex multiplication.Modular form 97020.2.a.x
sage: E.q_eigenform(10)