Properties

Label 485100ix
Number of curves $1$
Conductor $485100$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("ix1")
 
E.isogeny_class()
 

Elliptic curves in class 485100ix

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
485100.ix1 485100ix1 \([0, 0, 0, 25200, -759500]\) \(47775744/34375\) \(-1273387500000000\) \([]\) \(1843200\) \(1.5868\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 485100ix1 has rank \(0\).

Complex multiplication

The elliptic curves in class 485100ix do not have complex multiplication.

Modular form 485100.2.a.ix

sage: E.q_eigenform(10)
 
\(q + q^{11} + 6 q^{13} + 5 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display