Properties

Label 72600eo
Number of curves $1$
Conductor $72600$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("eo1")
 
E.isogeny_class()
 

Elliptic curves in class 72600eo

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
72600.eo1 72600eo1 \([0, 1, 0, -28233, -2193237]\) \(-8780800/2187\) \(-619904625120000\) \([]\) \(362880\) \(1.5563\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 72600eo1 has rank \(1\).

Complex multiplication

The elliptic curves in class 72600eo do not have complex multiplication.

Modular form 72600.2.a.eo

sage: E.q_eigenform(10)
 
\(q + q^{3} + 5 q^{7} + q^{9} + 3 q^{13} + 2 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display