Properties

Label 76664.a
Number of curves $1$
Conductor $76664$
CM no
Rank $0$

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Show commands: SageMath
sage: E = EllipticCurve("a1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 76664.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
76664.a1 76664g1 \([0, 0, 0, 5476, -607836]\) \(27648/259\) \(-170117923822336\) \([]\) \(262656\) \(1.4118\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 76664.a1 has rank \(0\).

Complex multiplication

The elliptic curves in class 76664.a do not have complex multiplication.

Modular form 76664.2.a.a

sage: E.q_eigenform(10)
 
\(q - 3q^{5} - q^{7} - 3q^{9} - 3q^{11} + 5q^{13} - 6q^{17} - 4q^{19} + O(q^{20})\)  Toggle raw display