Properties

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

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Show commands: SageMath
sage: E = EllipticCurve("g1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 76664.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
76664.g1 76664h1 \([0, -1, 0, -6297856, -6082815588]\) \(-7680477316/2401\) \(-8635866284917064704\) \([]\) \(2131200\) \(2.6095\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 76664.g1 has rank \(0\).

Complex multiplication

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

Modular form 76664.2.a.g

sage: E.q_eigenform(10)
 
\(q + 2q^{3} - q^{5} - q^{7} + q^{9} + 2q^{11} + 2q^{13} - 2q^{15} - q^{17} - 2q^{19} + O(q^{20})\)  Toggle raw display