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SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 273273.y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
273273.y1 | 273273y1 | \([0, -1, 1, -271462221, -1722025970260]\) | \(-3895861901277528064/1561102682139\) | \(-886502212465472899995699\) | \([]\) | \(45158400\) | \(3.5588\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 273273.y1 has rank \(1\).
Complex multiplication
The elliptic curves in class 273273.y do not have complex multiplication.Modular form 273273.2.a.y
sage: E.q_eigenform(10)