Properties

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

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

Elliptic curves in class 76664.i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
76664.i1 76664j1 \([0, -1, 0, -12, 137]\) \(-9472/343\) \(-7513072\) \([]\) \(18144\) \(-0.00041827\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 76664.i1 has rank \(0\).

Complex multiplication

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

Modular form 76664.2.a.i

sage: E.q_eigenform(10)
 
\(q + 2q^{3} + 2q^{5} - q^{7} + q^{9} - 5q^{11} + 6q^{13} + 4q^{15} - 2q^{17} - 4q^{19} + O(q^{20})\)  Toggle raw display