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SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 26775.y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
26775.y1 | 26775bn1 | \([0, 0, 1, 802050, -250095969]\) | \(5009339741732864/5271114033171\) | \(-60041283284088421875\) | \([]\) | \(609280\) | \(2.4818\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 26775.y1 has rank \(0\).
Complex multiplication
The elliptic curves in class 26775.y do not have complex multiplication.Modular form 26775.2.a.y
sage: E.q_eigenform(10)