Properties

Label 99225q
Number of curves $1$
Conductor $99225$
CM no
Rank $0$

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

Elliptic curves in class 99225q

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
99225.g1 99225q1 \([0, 0, 1, -33075, -2025844]\) \(36864/5\) \(542738734453125\) \([]\) \(663552\) \(1.5545\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 99225q1 has rank \(0\).

Complex multiplication

The elliptic curves in class 99225q do not have complex multiplication.

Modular form 99225.2.a.q

sage: E.q_eigenform(10)
 
\(q - 2 q^{2} + 2 q^{4} + 5 q^{11} + 4 q^{13} - 4 q^{16} - 4 q^{17} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display