Properties

Label 127680.u
Number of curves $1$
Conductor $127680$
CM no
Rank $2$

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

Elliptic curves in class 127680.u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
127680.u1 127680eg1 \([0, -1, 0, 75999, 6200001]\) \(185183253170999/171032148000\) \(-44835051405312000\) \([]\) \(1105920\) \(1.8824\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 127680.u1 has rank \(2\).

Complex multiplication

The elliptic curves in class 127680.u do not have complex multiplication.

Modular form 127680.2.a.u

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} + q^{7} + q^{9} - 5 q^{11} - 3 q^{13} + q^{15} - 5 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display