Properties

Label 369600.z
Number of curves $1$
Conductor $369600$
CM no
Rank $0$

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

Elliptic curves in class 369600.z

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
369600.z1 369600z1 \([0, -1, 0, 54467, -2570813]\) \(17869652393984/13156171875\) \(-13156171875000000\) \([]\) \(2709504\) \(1.7812\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 369600.z1 has rank \(0\).

Complex multiplication

The elliptic curves in class 369600.z do not have complex multiplication.

Modular form 369600.2.a.z

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{7} + q^{9} - q^{11} - 4 q^{13} + 5 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display