Properties

Label 20230l
Number of curves $1$
Conductor $20230$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("l1")
 
E.isogeny_class()
 

Elliptic curves in class 20230l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
20230.p1 20230l1 \([1, 0, 0, -258661, 50730241]\) \(-79290863149681/213248000\) \(-5147288314112000\) \([]\) \(152064\) \(1.8890\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 20230l1 has rank \(1\).

Complex multiplication

The elliptic curves in class 20230l do not have complex multiplication.

Modular form 20230.2.a.l

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{3} + q^{4} - q^{5} + q^{6} + q^{7} + q^{8} - 2 q^{9} - q^{10} + 2 q^{11} + q^{12} - 5 q^{13} + q^{14} - q^{15} + q^{16} - 2 q^{18} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display