Properties

Label 162450.f
Number of curves $1$
Conductor $162450$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("f1")
 
E.isogeny_class()
 

Elliptic curves in class 162450.f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
162450.f1 162450eo1 \([1, -1, 0, -267, 19141]\) \(-13851/1024\) \(-155952000000\) \([]\) \(184320\) \(0.82744\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 162450.f1 has rank \(2\).

Complex multiplication

The elliptic curves in class 162450.f do not have complex multiplication.

Modular form 162450.2.a.f

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