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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 248773a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
248773.a1 | 248773a1 | \([0, -1, 1, -93312, 10632894]\) | \(763752456589312/29267894677\) | \(3443338540854373\) | \([]\) | \(2174976\) | \(1.7492\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 248773a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 248773a do not have complex multiplication.Modular form 248773.2.a.a
sage: E.q_eigenform(10)