Properties

Label 106470b
Number of curves $1$
Conductor $106470$
CM no
Rank $1$

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

Elliptic curves in class 106470b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
106470.q1 106470b1 \([1, -1, 0, -204645, -35581675]\) \(207719778895841043/14000000\) \(63882000000\) \([]\) \(419328\) \(1.5293\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 106470b1 has rank \(1\).

Complex multiplication

The elliptic curves in class 106470b do not have complex multiplication.

Modular form 106470.2.a.b

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