Properties

Label 1764.c
Number of curves $1$
Conductor $1764$
CM no
Rank $0$

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Show commands: SageMath
sage: E = EllipticCurve("c1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 1764.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
1764.c1 1764h1 \([0, 0, 0, 57624, -1142876]\) \(401408/243\) \(-12810148591258368\) \([]\) \(10080\) \(1.7800\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 1764.c1 has rank \(0\).

Complex multiplication

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

Modular form 1764.2.a.c

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