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SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 28322y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
28322.v1 | 28322y1 | \([1, 1, 1, -57, 139]\) | \(206839/4\) | \(396508\) | \([]\) | \(3456\) | \(-0.13303\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 28322y1 has rank \(1\).
Complex multiplication
The elliptic curves in class 28322y do not have complex multiplication.Modular form 28322.2.a.y
sage: E.q_eigenform(10)