Properties

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

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Show commands for: SageMath
sage: E = EllipticCurve("714.b1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 714.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
714.b1 714b1 [1, 1, 0, -37, -107] [] 120 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 714.b1 has rank \(0\).

Modular form 714.2.a.b

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