Properties

Label 726.a
Number of curves $1$
Conductor $726$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("a1")
 
E.isogeny_class()
 

Elliptic curves in class 726.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
726.a1 726b1 \([1, 1, 0, 21657, -1855179]\) \(43307231/82944\) \(-2151353746105344\) \([]\) \(5280\) \(1.6267\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 726.a1 has rank \(0\).

Complex multiplication

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

Modular form 726.2.a.a

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