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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 2142i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
2142.b1 | 2142i1 | \([1, -1, 0, 9, 31]\) | \(103823/714\) | \(-520506\) | \([]\) | \(320\) | \(-0.22145\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 2142i1 has rank \(1\).
Complex multiplication
The elliptic curves in class 2142i do not have complex multiplication.Modular form 2142.2.a.i
sage: E.q_eigenform(10)