Properties

Label 19600.bh
Number of curves $1$
Conductor $19600$
CM no
Rank $0$

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

Elliptic curves in class 19600.bh

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
19600.bh1 19600p1 \([0, -1, 0, -20008, -7307488]\) \(-196/5\) \(-22598019920000000\) \([]\) \(96768\) \(1.8187\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 19600.bh1 has rank \(0\).

Complex multiplication

The elliptic curves in class 19600.bh do not have complex multiplication.

Modular form 19600.2.a.bh

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