Properties

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

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Show commands for: SageMath
sage: E = EllipticCurve("714.g1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 714.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
714.g1 714e1 [1, 1, 1, -2204, -41731] [] 840 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 714.g1 has rank \(0\).

Modular form 714.2.a.g

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