Properties

Label 4024.a
Number of curves 1
Conductor 4024
CM no
Rank 2

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Show commands for: SageMath

sage: E = EllipticCurve("4024.a1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 4024.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
4024.a1 4024b1 [0, -1, 0, 12, 4] [] 384 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 4024.a1 has rank \(2\).

Modular form 4024.2.a.a

sage: E.q_eigenform(10)
 
\( q - q^{3} - 5q^{7} - 2q^{9} - 5q^{11} + q^{13} - 4q^{17} - 4q^{19} + O(q^{20}) \)