Properties

Label 66424i
Number of curves $1$
Conductor $66424$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("i1")
 
E.isogeny_class()
 

Elliptic curves in class 66424i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
66424.m1 66424i1 \([0, 1, 0, -1564, -25163]\) \(-562432/23\) \(-17312884208\) \([]\) \(52416\) \(0.73210\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 66424i1 has rank \(1\).

Complex multiplication

The elliptic curves in class 66424i do not have complex multiplication.

Modular form 66424.2.a.i

sage: E.q_eigenform(10)
 
\(q + q^{3} - 2 q^{5} - 4 q^{7} - 2 q^{9} - 2 q^{11} - 7 q^{13} - 2 q^{15} - 4 q^{17} + O(q^{20})\) Copy content Toggle raw display