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SageMath
E = EllipticCurve("is1")
E.isogeny_class()
Elliptic curves in class 142800.is
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
142800.is1 | 142800h1 | \([0, 1, 0, -18208, 2777588]\) | \(-417267265/1850688\) | \(-2961100800000000\) | \([]\) | \(518400\) | \(1.6536\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 142800.is1 has rank \(0\).
Complex multiplication
The elliptic curves in class 142800.is do not have complex multiplication.Modular form 142800.2.a.is
sage: E.q_eigenform(10)