Properties

Label 1764.h
Number of curves $1$
Conductor $1764$
CM no
Rank $1$

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

Elliptic curves in class 1764.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
1764.h1 1764d1 \([0, 0, 0, 1176, 3332]\) \(401408/243\) \(-108884466432\) \([]\) \(1440\) \(0.80703\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 1764.h1 has rank \(1\).

Complex multiplication

The elliptic curves in class 1764.h do not have complex multiplication.

Modular form 1764.2.a.h

sage: E.q_eigenform(10)
 
\(q + 2q^{5} - 2q^{11} - 3q^{13} - 8q^{17} - q^{19} + O(q^{20})\)  Toggle raw display