Properties

Label 20308.a
Number of curves 1
Conductor 20308
CM no
Rank 2

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Show commands for: SageMath
sage: E = EllipticCurve("20308.a1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 20308.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
20308.a1 20308a1 [0, -1, 0, -109, 473] [] 2400 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 20308.a1 has rank \(2\).

Modular form 20308.2.a.a

sage: E.q_eigenform(10)
 
\( q - q^{3} - 2q^{5} - 2q^{9} + 4q^{11} - 2q^{13} + 2q^{15} - 6q^{17} - q^{19} + O(q^{20}) \)