Properties

Label 376768.cf
Number of curves $1$
Conductor $376768$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("cf1")
 
E.isogeny_class()
 

Elliptic curves in class 376768.cf

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
376768.cf1 376768cf1 \([0, 1, 0, -1121, 22647071]\) \(-1/1421\) \(-221575627182178304\) \([]\) \(3440640\) \(2.0072\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 376768.cf1 has rank \(0\).

Complex multiplication

The elliptic curves in class 376768.cf do not have complex multiplication.

Modular form 376768.2.a.cf

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