Properties

Label 286650.cz
Number of curves $1$
Conductor $286650$
CM no
Rank $0$

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

Elliptic curves in class 286650.cz

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
286650.cz1 286650cz1 \([1, -1, 0, -8682, 311156]\) \(3001814235/26624\) \(641949235200\) \([]\) \(494208\) \(1.0889\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 286650.cz1 has rank \(0\).

Complex multiplication

The elliptic curves in class 286650.cz do not have complex multiplication.

Modular form 286650.2.a.cz

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{8} - q^{11} - q^{13} + q^{16} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display