Properties

Label 2400.u
Number of curves $1$
Conductor $2400$
CM no
Rank $1$

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

Elliptic curves in class 2400.u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
2400.u1 2400bd1 \([0, 1, 0, -173, -6597]\) \(-5624320/177147\) \(-18139852800\) \([]\) \(2112\) \(0.64882\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 2400.u1 has rank \(1\).

Complex multiplication

The elliptic curves in class 2400.u do not have complex multiplication.

Modular form 2400.2.a.u

sage: E.q_eigenform(10)
 
\(q + q^{3} - 3 q^{7} + q^{9} - 4 q^{11} + 7 q^{13} - 4 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display