Properties

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

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Show commands: SageMath
E = EllipticCurve("q1")
 
E.isogeny_class()
 

Elliptic curves in class 66248.q

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
66248.q1 66248g1 \([0, 1, 0, -1758332, -818406016]\) \(10192\) \(58988477064044679424\) \([]\) \(1572480\) \(2.5306\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 66248.q1 has rank \(0\).

Complex multiplication

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

Modular form 66248.2.a.q

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