Properties

Label 24301.a
Number of curves $1$
Conductor $24301$
CM no
Rank $3$

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

Elliptic curves in class 24301.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
24301.a1 24301a1 \([1, 0, 0, -44, 109]\) \(-9434056897/24301\) \(-24301\) \([]\) \(3584\) \(-0.28232\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 24301.a1 has rank \(3\).

Complex multiplication

The elliptic curves in class 24301.a do not have complex multiplication.

Modular form 24301.2.a.a

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