Properties

Label 108900.q
Number of curves $1$
Conductor $108900$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("q1")
 
E.isogeny_class()
 

Elliptic curves in class 108900.q

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
108900.q1 108900du1 \([0, 0, 0, -335775, -82987850]\) \(-20261200/2673\) \(-552335020981920000\) \([]\) \(1382400\) \(2.1373\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 108900.q1 has rank \(1\).

Complex multiplication

The elliptic curves in class 108900.q do not have complex multiplication.

Modular form 108900.2.a.q

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