Properties

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

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Show commands: SageMath
E = EllipticCurve("y1")
 
E.isogeny_class()
 

Elliptic curves in class 349830y

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
349830.y1 349830y1 \([1, -1, 0, -2312205, 643835141]\) \(2298944458161/1029814880\) \(612397641593458861920\) \([]\) \(13977600\) \(2.6841\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 349830y1 has rank \(1\).

Complex multiplication

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

Modular form 349830.2.a.y

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