Properties

Label 203280cz
Number of curves $1$
Conductor $203280$
CM no
Rank $0$

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

Elliptic curves in class 203280cz

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
203280.cv1 203280cz1 \([0, -1, 0, 1054475, 217094077]\) \(17869652393984/13156171875\) \(-95465312268480000000\) \([]\) \(6773760\) \(2.5221\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 203280cz1 has rank \(0\).

Complex multiplication

The elliptic curves in class 203280cz do not have complex multiplication.

Modular form 203280.2.a.cz

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{5} - q^{7} + q^{9} + 4 q^{13} - q^{15} + 5 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display