Properties

Label 265200.z
Number of curves $1$
Conductor $265200$
CM no
Rank $0$

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

Elliptic curves in class 265200.z

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
265200.z1 265200z1 \([0, -1, 0, 20667, 869037]\) \(122023936/112047\) \(-896376000000000\) \([]\) \(1209600\) \(1.5564\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 265200.z1 has rank \(0\).

Complex multiplication

The elliptic curves in class 265200.z do not have complex multiplication.

Modular form 265200.2.a.z

sage: E.q_eigenform(10)
 
\(q - q^{3} - 2 q^{7} + q^{9} - q^{13} + q^{17} + 8 q^{19} + O(q^{20})\) Copy content Toggle raw display