Properties

Label 424830.z
Number of curves $1$
Conductor $424830$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("z1")
 
E.isogeny_class()
 

Elliptic curves in class 424830.z

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
424830.z1 424830z1 \([1, 1, 0, -24868, -1863728]\) \(-2451227230921/720000000\) \(-499600080000000\) \([]\) \(3024000\) \(1.5350\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 424830.z1 has rank \(1\).

Complex multiplication

The elliptic curves in class 424830.z do not have complex multiplication.

Modular form 424830.2.a.z

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