Properties

Label 185130fj
Number of curves $1$
Conductor $185130$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("fj1")
 
E.isogeny_class()
 

Elliptic curves in class 185130fj

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
185130.a1 185130fj1 \([1, -1, 0, -22710, -1312470]\) \(-223810587/170\) \(-983907263790\) \([]\) \(929280\) \(1.2338\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 185130fj1 has rank \(0\).

Complex multiplication

The elliptic curves in class 185130fj do not have complex multiplication.

Modular form 185130.2.a.fj

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{5} - 5 q^{7} - q^{8} + q^{10} - 7 q^{13} + 5 q^{14} + q^{16} - q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display