Properties

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

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Show commands: SageMath
E = EllipticCurve("cb1")
 
E.isogeny_class()
 

Elliptic curves in class 66240cb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
66240.ct1 66240cb1 \([0, 0, 0, -7248, -238048]\) \(-3525581824/9315\) \(-111257763840\) \([]\) \(98304\) \(0.99463\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 66240cb1 has rank \(1\).

Complex multiplication

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

Modular form 66240.2.a.cb

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