Properties

Label 185150.k
Number of curves $1$
Conductor $185150$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("k1")
 
E.isogeny_class()
 

Elliptic curves in class 185150.k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
185150.k1 185150bp1 \([1, 1, 0, -735, 23425]\) \(-665492189/3294172\) \(-217827123500\) \([]\) \(193536\) \(0.86002\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 185150.k1 has rank \(2\).

Complex multiplication

The elliptic curves in class 185150.k do not have complex multiplication.

Modular form 185150.2.a.k

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} + q^{6} + q^{7} - q^{8} - 2 q^{9} + q^{11} - q^{12} - 6 q^{13} - q^{14} + q^{16} - 3 q^{17} + 2 q^{18} + O(q^{20})\) Copy content Toggle raw display