Properties

Label 207368u
Number of curves $1$
Conductor $207368$
CM no
Rank $0$

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

Elliptic curves in class 207368u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
207368.m1 207368u1 \([0, -1, 0, -8640, -284171]\) \(12544\) \(5686946711824\) \([]\) \(278256\) \(1.1909\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 207368u1 has rank \(0\).

Complex multiplication

The elliptic curves in class 207368u do not have complex multiplication.

Modular form 207368.2.a.u

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{5} - 2 q^{9} - 3 q^{11} - 6 q^{13} - q^{15} + 5 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display