Properties

Label 207936.u
Number of curves $1$
Conductor $207936$
CM no
Rank $1$

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

Elliptic curves in class 207936.u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
207936.u1 207936eq1 \([0, 0, 0, -745104, 281603104]\) \(-81415168/13851\) \(-7783056848419209216\) \([]\) \(4423680\) \(2.3514\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 207936.u1 has rank \(1\).

Complex multiplication

The elliptic curves in class 207936.u do not have complex multiplication.

Modular form 207936.2.a.u

sage: E.q_eigenform(10)
 
\(q - 3 q^{5} - 3 q^{7} - q^{11} - 2 q^{13} + 5 q^{17} + O(q^{20})\) Copy content Toggle raw display