Properties

Label 20808.bh
Number of curves $1$
Conductor $20808$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bh1")
 
E.isogeny_class()
 

Elliptic curves in class 20808.bh

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
20808.bh1 20808s1 \([0, 0, 0, -29478, 2088025]\) \(-34816/3\) \(-244095704375472\) \([]\) \(97920\) \(1.5052\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 20808.bh1 has rank \(1\).

Complex multiplication

The elliptic curves in class 20808.bh do not have complex multiplication.

Modular form 20808.2.a.bh

sage: E.q_eigenform(10)
 
\(q + 4 q^{5} - q^{7} + 2 q^{11} - 3 q^{13} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display