Properties

Label 96800co
Number of curves $1$
Conductor $96800$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("co1")
 
E.isogeny_class()
 

Elliptic curves in class 96800co

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
96800.a1 96800co1 \([0, 0, 0, -13915, 865150]\) \(-2628072/1331\) \(-150908652224000\) \([]\) \(599040\) \(1.4255\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 96800co1 has rank \(2\).

Complex multiplication

The elliptic curves in class 96800co do not have complex multiplication.

Modular form 96800.2.a.co

sage: E.q_eigenform(10)
 
\(q - 3 q^{3} - 3 q^{7} + 6 q^{9} - 4 q^{13} + 7 q^{17} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display