Properties

Label 66270i
Number of curves $1$
Conductor $66270$
CM no
Rank $1$

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Show commands: 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)
 
\(q - q^{2} + q^{3} + q^{4} - q^{5} - q^{6} - q^{8} + q^{9} + q^{10} - 3 q^{11} + q^{12} - 4 q^{13} - q^{15} + q^{16} - q^{18} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display