Properties

Label 66248.x
Number of curves $1$
Conductor $66248$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("x1")
 
E.isogeny_class()
 

Elliptic curves in class 66248.x

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
66248.x1 66248j1 \([0, -1, 0, -11041, -38735451]\) \(-1024/4459\) \(-648225022681809664\) \([]\) \(774144\) \(2.0967\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 66248.x1 has rank \(0\).

Complex multiplication

The elliptic curves in class 66248.x do not have complex multiplication.

Modular form 66248.2.a.x

sage: E.q_eigenform(10)
 
\(q + 2 q^{3} - q^{5} + q^{9} - 4 q^{11} - 2 q^{15} + 6 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display