Properties

Label 70805.bi
Number of curves $1$
Conductor $70805$
CM no
Rank $0$

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

Elliptic curves in class 70805.bi

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
70805.bi1 70805j1 \([1, 1, 0, 122, -307]\) \(5831/5\) \(-170002805\) \([]\) \(16848\) \(0.26686\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 70805.bi1 has rank \(0\).

Complex multiplication

The elliptic curves in class 70805.bi do not have complex multiplication.

Modular form 70805.2.a.bi

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{3} - q^{4} - q^{5} - q^{6} - 3 q^{8} - 2 q^{9} - q^{10} - 2 q^{11} + q^{12} - 2 q^{13} + q^{15} - q^{16} - 2 q^{18} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display