Properties

Label 234446.a
Number of curves $1$
Conductor $234446$
CM no
Rank $4$

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

Elliptic curves in class 234446.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
234446.a1 234446a1 \([1, -1, 0, -79, 289]\) \(54915331401/468892\) \(468892\) \([]\) \(334976\) \(-0.086976\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 234446.a1 has rank \(4\).

Complex multiplication

The elliptic curves in class 234446.a do not have complex multiplication.

Modular form 234446.2.a.a

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