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SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 28566.y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
28566.y1 | 28566z1 | \([1, -1, 1, -881704766, 29791703861965]\) | \(-2890629687594173619/12947848928690176\) | \(-339545861552992625449613918208\) | \([]\) | \(37255680\) | \(4.3513\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 28566.y1 has rank \(1\).
Complex multiplication
The elliptic curves in class 28566.y do not have complex multiplication.Modular form 28566.2.a.y
sage: E.q_eigenform(10)