Properties

Label 105800.bi
Number of curves $1$
Conductor $105800$
CM no
Rank $1$

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

Elliptic curves in class 105800.bi

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
105800.bi1 105800z1 \([0, 0, 0, 2645, 121670]\) \(270\) \(-7579437516800\) \([]\) \(302016\) \(1.1542\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 105800.bi1 has rank \(1\).

Complex multiplication

The elliptic curves in class 105800.bi do not have complex multiplication.

Modular form 105800.2.a.bi

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