Properties

Label 349830e
Number of curves $1$
Conductor $349830$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("e1")
 
E.isogeny_class()
 

Elliptic curves in class 349830e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
349830.e1 349830e1 \([1, -1, 0, 686700, -92707250]\) \(1719980649806159/1173023511750\) \(-24423486174417885750\) \([]\) \(9815040\) \(2.4088\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 349830e1 has rank \(1\).

Complex multiplication

The elliptic curves in class 349830e do not have complex multiplication.

Modular form 349830.2.a.e

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