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SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 265200y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
265200.y1 | 265200y1 | \([0, -1, 0, -73, -683]\) | \(-1362944/5967\) | \(-190944000\) | \([]\) | \(75264\) | \(0.27390\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 265200y1 has rank \(1\).
Complex multiplication
The elliptic curves in class 265200y do not have complex multiplication.Modular form 265200.2.a.y
sage: E.q_eigenform(10)