Properties

Label 350064.w
Number of curves $1$
Conductor $350064$
CM no
Rank $1$

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

Elliptic curves in class 350064.w

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
350064.w1 350064w1 \([0, 0, 0, -339483, 158832074]\) \(-1449073218392281/2811246362496\) \(-8394336658471256064\) \([]\) \(6709248\) \(2.3208\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 350064.w1 has rank \(1\).

Complex multiplication

The elliptic curves in class 350064.w do not have complex multiplication.

Modular form 350064.2.a.w

sage: E.q_eigenform(10)
 
\(q - q^{5} - q^{7} - q^{11} + q^{13} + q^{17} - 8 q^{19} + O(q^{20})\) Copy content Toggle raw display