Properties

Label 349830.w
Number of curves $1$
Conductor $349830$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("w1")
 
E.isogeny_class()
 

Elliptic curves in class 349830.w

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
349830.w1 349830w1 \([1, -1, 0, -4355415, -3497241825]\) \(15365194032721/1293750\) \(769351331194143750\) \([]\) \(9784320\) \(2.4753\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 349830.w1 has rank \(0\).

Complex multiplication

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

Modular form 349830.2.a.w

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