Properties

Label 202300.a
Number of curves $1$
Conductor $202300$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("a1")
 
E.isogeny_class()
 

Elliptic curves in class 202300.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
202300.a1 202300a1 \([0, 0, 0, -289000, 61412500]\) \(-221184/7\) \(-84481491500000000\) \([]\) \(3444480\) \(2.0241\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 202300.a1 has rank \(1\).

Complex multiplication

The elliptic curves in class 202300.a do not have complex multiplication.

Modular form 202300.2.a.a

sage: E.q_eigenform(10)
 
\(q - 3 q^{3} - q^{7} + 6 q^{9} - 3 q^{11} + q^{13} - 8 q^{19} + O(q^{20})\) Copy content Toggle raw display