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SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 26010x
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
26010.s1 | 26010x1 | \([1, -1, 0, -104094, -12901100]\) | \(-2048707405729/76800\) | \(-4676106931200\) | \([]\) | \(126720\) | \(1.5176\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 26010x1 has rank \(0\).
Complex multiplication
The elliptic curves in class 26010x do not have complex multiplication.Modular form 26010.2.a.x
sage: E.q_eigenform(10)