Properties

Label 66240eo
Number of curves $1$
Conductor $66240$
CM no
Rank $1$

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

Elliptic curves in class 66240eo

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
66240.n1 66240eo1 \([0, 0, 0, -10128, -11705632]\) \(-9619385344/4950372915\) \(-59126937272893440\) \([]\) \(393216\) \(1.8973\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 66240eo1 has rank \(1\).

Complex multiplication

The elliptic curves in class 66240eo do not have complex multiplication.

Modular form 66240.2.a.eo

sage: E.q_eigenform(10)
 
\(q - q^{5} - 3 q^{7} + 2 q^{11} - 2 q^{13} + q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display