Properties

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

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Show commands: SageMath
sage: E = EllipticCurve("h1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 76664.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
76664.h1 76664d1 \([0, -1, 0, -4600, -118596]\) \(-7680477316/2401\) \(-3365856256\) \([]\) \(57600\) \(0.80404\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 76664.h1 has rank \(1\).

Complex multiplication

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

Modular form 76664.2.a.h

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