Properties

Label 93600.u
Number of curves $1$
Conductor $93600$
CM no
Rank $1$

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

Elliptic curves in class 93600.u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
93600.u1 93600r1 \([0, 0, 0, 3000, 50000]\) \(13824/13\) \(-2808000000000\) \([]\) \(133120\) \(1.0758\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 93600.u1 has rank \(1\).

Complex multiplication

The elliptic curves in class 93600.u do not have complex multiplication.

Modular form 93600.2.a.u

sage: E.q_eigenform(10)
 
\(q - 3q^{7} - 3q^{11} + q^{13} + 7q^{17} + 2q^{19} + O(q^{20})\)  Toggle raw display