Properties

Label 714c
Number of curves $1$
Conductor $714$
CM no
Rank $0$

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Show commands for: SageMath
sage: E = EllipticCurve("714.c1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 714c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
714.c1 714c1 [1, 1, 0, -14597, -686643] [] 2040 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 714c1 has rank \(0\).

Modular form 714.2.a.c

sage: E.q_eigenform(10)
 
\( q - q^{2} - q^{3} + q^{4} + q^{5} + q^{6} + q^{7} - q^{8} + q^{9} - q^{10} + 5q^{11} - q^{12} - q^{13} - q^{14} - q^{15} + q^{16} - q^{17} - q^{18} - 6q^{19} + O(q^{20}) \)