Properties

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

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Show commands: SageMath
E = EllipticCurve("bi1")
 
E.isogeny_class()
 

Elliptic curves in class 185150.bi

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
185150.bi1 185150b1 \([1, -1, 1, -95055, -12171753]\) \(-1026590625/100352\) \(-9284810958080000\) \([]\) \(3345408\) \(1.8048\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 185150.bi1 has rank \(1\).

Complex multiplication

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

Modular form 185150.2.a.bi

sage: E.q_eigenform(10)
 
\(q + q^{2} - 3 q^{3} + q^{4} - 3 q^{6} + q^{7} + q^{8} + 6 q^{9} + 5 q^{11} - 3 q^{12} - 6 q^{13} + q^{14} + q^{16} + q^{17} + 6 q^{18} + 3 q^{19} + O(q^{20})\) Copy content Toggle raw display