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SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 26520x
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
26520.p1 | 26520x1 | \([0, -1, 0, -460, 4105]\) | \(-674250071296/31416255\) | \(-502660080\) | \([]\) | \(13440\) | \(0.43289\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 26520x1 has rank \(1\).
Complex multiplication
The elliptic curves in class 26520x do not have complex multiplication.Modular form 26520.2.a.x
sage: E.q_eigenform(10)