Properties

Label 331240w
Number of curves $1$
Conductor $331240$
CM no
Rank $0$

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

Elliptic curves in class 331240w

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
331240.w1 331240w1 \([0, -1, 0, -1004761, -388061155]\) \(-2249728/5\) \(-249317316416080640\) \([]\) \(4741632\) \(2.2209\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 331240w1 has rank \(0\).

Complex multiplication

The elliptic curves in class 331240w do not have complex multiplication.

Modular form 331240.2.a.w

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} - 2 q^{9} + 5 q^{11} + q^{15} + 3 q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display