Properties

Label 93600.z
Number of curves $1$
Conductor $93600$
CM no
Rank $1$

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

Elliptic curves in class 93600.z

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
93600.z1 93600cf1 \([0, 0, 0, -176700, -28647200]\) \(-326938350400/767637\) \(-1432594874880000\) \([]\) \(737280\) \(1.7885\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 93600.z1 has rank \(1\).

Complex multiplication

The elliptic curves in class 93600.z do not have complex multiplication.

Modular form 93600.2.a.z

sage: E.q_eigenform(10)
 
\(q - 3 q^{7} + 3 q^{11} - q^{13} + 7 q^{17} - 8 q^{19} + O(q^{20})\) Copy content Toggle raw display