Properties

Label 69696.u
Number of curves $1$
Conductor $69696$
CM no
Rank $0$

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

Elliptic curves in class 69696.u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
69696.u1 69696gx1 \([0, 0, 0, -17424, -1149984]\) \(-27648/11\) \(-232753523245056\) \([]\) \(215040\) \(1.4656\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 69696.u1 has rank \(0\).

Complex multiplication

The elliptic curves in class 69696.u do not have complex multiplication.

Modular form 69696.2.a.u

sage: E.q_eigenform(10)
 
\(q - 3 q^{5} - 2 q^{7} - 6 q^{17} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display