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SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 273600y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
273600.y1 | 273600y1 | \([0, 0, 0, -51375, 5227720]\) | \(-12856765000000/2681615217\) | \(-3127835989108800\) | \([]\) | \(1376256\) | \(1.6951\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 273600y1 has rank \(1\).
Complex multiplication
The elliptic curves in class 273600y do not have complex multiplication.Modular form 273600.2.a.y
sage: E.q_eigenform(10)