Properties

Label 185020b
Number of curves $1$
Conductor $185020$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("b1")
 
E.isogeny_class()
 

Elliptic curves in class 185020b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
185020.c1 185020b1 \([0, 1, 0, 8130, -966527]\) \(7424/55\) \(-440216843405680\) \([]\) \(584640\) \(1.4914\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 185020b1 has rank \(1\).

Complex multiplication

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

Modular form 185020.2.a.b

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