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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 26775.s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
26775.s1 | 26775h1 | \([1, -1, 1, -207065, -36215018]\) | \(-1995310715276835/9938999\) | \(-4890732932925\) | \([]\) | \(103680\) | \(1.6338\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 26775.s1 has rank \(1\).
Complex multiplication
The elliptic curves in class 26775.s do not have complex multiplication.Modular form 26775.2.a.s
sage: E.q_eigenform(10)