Properties

Label 70805bj
Number of curves $1$
Conductor $70805$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bj1")
 
E.isogeny_class()
 

Elliptic curves in class 70805bj

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
70805.n1 70805bj1 \([1, 1, 1, -8625, -310808]\) \(6084487/25\) \(291554810575\) \([]\) \(88704\) \(1.0554\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 70805bj1 has rank \(1\).

Complex multiplication

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

Modular form 70805.2.a.bj

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