Properties

Label 26928.u
Number of curves $1$
Conductor $26928$
CM no
Rank $0$

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

Elliptic curves in class 26928.u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
26928.u1 26928bl1 \([0, 0, 0, -20496, -46094996]\) \(-5102271397888/4915446963867\) \(-917340374184715008\) \([]\) \(516096\) \(2.1257\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 26928.u1 has rank \(0\).

Complex multiplication

The elliptic curves in class 26928.u do not have complex multiplication.

Modular form 26928.2.a.u

sage: E.q_eigenform(10)
 
\(q - 2 q^{5} + 5 q^{7} - q^{11} + 6 q^{13} + q^{17} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display