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SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 89232.x
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
89232.x1 | 89232ba1 | \([0, -1, 0, -273160, -19230992]\) | \(674636521/342144\) | \(1143182834916655104\) | \([]\) | \(1048320\) | \(2.1575\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 89232.x1 has rank \(0\).
Complex multiplication
The elliptic curves in class 89232.x do not have complex multiplication.Modular form 89232.2.a.x
sage: E.q_eigenform(10)