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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 273273a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
273273.a1 | 273273a1 | \([0, -1, 1, -251190, -79285438]\) | \(-372736/363\) | \(-1707016675243002123\) | \([]\) | \(11767392\) | \(2.1945\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 273273a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 273273a do not have complex multiplication.Modular form 273273.2.a.a
sage: E.q_eigenform(10)