Properties

Label 397800.u
Number of curves $1$
Conductor $397800$
CM no
Rank $0$

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

Elliptic curves in class 397800.u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
397800.u1 397800u1 \([0, 0, 0, -4402875, 3751213750]\) \(-16185095420210/1057036149\) \(-616463482096800000000\) \([]\) \(13977600\) \(2.7419\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 397800.u1 has rank \(0\).

Complex multiplication

The elliptic curves in class 397800.u do not have complex multiplication.

Modular form 397800.2.a.u

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