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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 66270i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
66270.j1 | 66270i1 | \([1, 0, 1, -206259, 36024142]\) | \(439302518441971081/193273528320\) | \(426941224058880\) | \([]\) | \(417792\) | \(1.7663\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 66270i1 has rank \(1\).
Complex multiplication
The elliptic curves in class 66270i do not have complex multiplication.Modular form 66270.2.a.i
sage: E.q_eigenform(10)