Properties

Label 234416.u
Number of curves $1$
Conductor $234416$
CM no
Rank $0$

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

Elliptic curves in class 234416.u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
234416.u1 234416u1 \([0, -1, 0, 3120, -31710272]\) \(6967871/901382144\) \(-434367315392331776\) \([]\) \(2467584\) \(2.0633\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 234416.u1 has rank \(0\).

Complex multiplication

The elliptic curves in class 234416.u do not have complex multiplication.

Modular form 234416.2.a.u

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{5} - 2 q^{9} + 6 q^{11} + q^{13} - q^{15} - 3 q^{17} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display