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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 450840.i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
450840.i1 | 450840i1 | \([0, -1, 0, 994064, 1296103261]\) | \(57254027008/415803375\) | \(-788947828504572438000\) | \([]\) | \(17860608\) | \(2.6914\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 450840.i1 has rank \(0\).
Complex multiplication
The elliptic curves in class 450840.i do not have complex multiplication.Modular form 450840.2.a.i
sage: E.q_eigenform(10)