Properties

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

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Show commands for: SageMath
sage: E = EllipticCurve("cg1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 93600cg

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
93600.es1 93600cg1 \([0, 0, 0, 70125, -57726250]\) \(261568120/10024911\) \(-1461632023800000000\) \([]\) \(1036800\) \(2.1654\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 93600cg1 has rank \(1\).

Complex multiplication

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

Modular form 93600.2.a.cg

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