Properties

Label 352800.z
Number of curves $1$
Conductor $352800$
CM no
Rank $1$

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

Elliptic curves in class 352800.z

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
352800.z1 352800z1 \([0, 0, 0, 4725, 47250]\) \(1512\) \(-7715736000000\) \([]\) \(622080\) \(1.1616\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 352800.z1 has rank \(1\).

Complex multiplication

The elliptic curves in class 352800.z do not have complex multiplication.

Modular form 352800.2.a.z

sage: E.q_eigenform(10)
 
\(q - 5 q^{11} + 2 q^{13} - 2 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display