Properties

Label 93600bg
Number of curves $1$
Conductor $93600$
CM no
Rank $2$

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Show commands: SageMath
sage: E = EllipticCurve("bg1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 93600bg

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
93600.a1 93600bg1 \([0, 0, 0, 4200, 718000]\) \(175616/4875\) \(-227448000000000\) \([]\) \(368640\) \(1.4349\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 93600bg1 has rank \(2\).

Complex multiplication

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

Modular form 93600.2.a.bg

sage: E.q_eigenform(10)
 
\(q - 5q^{7} - q^{11} - q^{13} + 3q^{17} - 6q^{19} + O(q^{20})\)  Toggle raw display