Properties

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

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

Elliptic curves in class 20308a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
20308.a1 20308a1 \([0, -1, 0, -109, 473]\) \(564600832/5077\) \(1299712\) \([]\) \(2400\) \(-0.0041184\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

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

Complex multiplication

The elliptic curves in class 20308a do not have complex multiplication.

Modular form 20308.2.a.a

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