Properties

Label 338130.u
Number of curves $1$
Conductor $338130$
CM no
Rank $0$

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Show commands for: SageMath
sage: E = EllipticCurve("u1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 338130.u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
338130.u1 338130u1 \([1, -1, 0, -626895, -198963635]\) \(-1548415333009/77332320\) \(-1360761759039028320\) \([]\) \(5160960\) \(2.2406\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 338130.u1 has rank \(0\).

Complex multiplication

The elliptic curves in class 338130.u do not have complex multiplication.

Modular form 338130.2.a.u

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{5} + 2q^{7} - q^{8} + q^{10} - q^{11} - q^{13} - 2q^{14} + q^{16} + q^{19} + O(q^{20})\)  Toggle raw display