Properties

Label 478800.cz
Number of curves $1$
Conductor $478800$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("cz1")
 
E.isogeny_class()
 

Elliptic curves in class 478800.cz

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
478800.cz1 478800cz1 \([0, 0, 0, 25125, 7209610]\) \(23497109375/314399232\) \(-23469776909107200\) \([]\) \(3317760\) \(1.8220\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 478800.cz1 has rank \(1\).

Complex multiplication

The elliptic curves in class 478800.cz do not have complex multiplication.

Modular form 478800.2.a.cz

sage: E.q_eigenform(10)
 
\(q - q^{7} - 2 q^{11} + 5 q^{13} + q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display