Properties

Label 259182q
Number of curves $1$
Conductor $259182$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("q1")
 
E.isogeny_class()
 

Elliptic curves in class 259182q

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
259182.q1 259182q1 \([1, -1, 0, -19753630386, -1070679167759404]\) \(-660056090712855266747143737/1485524867054684667904\) \(-1918507782954108619993418366976\) \([]\) \(877363200\) \(4.6929\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 259182q1 has rank \(0\).

Complex multiplication

The elliptic curves in class 259182q do not have complex multiplication.

Modular form 259182.2.a.q

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - 3 q^{5} + q^{7} - q^{8} + 3 q^{10} + 5 q^{13} - q^{14} + q^{16} - q^{17} - 8 q^{19} + O(q^{20})\) Copy content Toggle raw display