Properties

Label 726d
Number of curves $1$
Conductor $726$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("d1")
 
E.isogeny_class()
 

Elliptic curves in class 726d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
726.e1 726d1 \([1, 0, 1, -14, 20]\) \(-2259169/324\) \(-39204\) \([]\) \(96\) \(-0.38787\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 726d1 has rank \(1\).

Complex multiplication

The elliptic curves in class 726d do not have complex multiplication.

Modular form 726.2.a.d

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