Properties

Label 93600ci
Number of curves $1$
Conductor $93600$
CM no
Rank $1$

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Show commands: SageMath
sage: E = EllipticCurve("ci1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 93600ci

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
93600.e1 93600ci1 \([0, 0, 0, 7125, -58750]\) \(274360/169\) \(-24640200000000\) \([]\) \(259200\) \(1.2588\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 93600ci1 has rank \(1\).

Complex multiplication

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

Modular form 93600.2.a.ci

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