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SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 4400.y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
4400.y1 | 4400p1 | \([0, -1, 0, -3288, 73712]\) | \(-38401771585/22528\) | \(-2306867200\) | \([]\) | \(3168\) | \(0.74158\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 4400.y1 has rank \(0\).
Complex multiplication
The elliptic curves in class 4400.y do not have complex multiplication.Modular form 4400.2.a.y
sage: E.q_eigenform(10)