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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 140790.i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
140790.i1 | 140790cy1 | \([1, 1, 0, -24403, 1458733]\) | \(-234325944477451/291133440\) | \(-1996884264960\) | \([]\) | \(665280\) | \(1.2695\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 140790.i1 has rank \(1\).
Complex multiplication
The elliptic curves in class 140790.i do not have complex multiplication.Modular form 140790.2.a.i
sage: E.q_eigenform(10)