Properties

Label 185020.f
Number of curves $1$
Conductor $185020$
CM no
Rank $2$

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

Elliptic curves in class 185020.f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
185020.f1 185020h1 \([0, -1, 0, 39, -14]\) \(475136/275\) \(-3700400\) \([]\) \(31680\) \(-0.050204\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 185020.f1 has rank \(2\).

Complex multiplication

The elliptic curves in class 185020.f do not have complex multiplication.

Modular form 185020.2.a.f

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} - 4 q^{7} - 2 q^{9} - q^{11} - 2 q^{13} + q^{15} - 6 q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display