Properties

Label 139650.hd
Number of curves $1$
Conductor $139650$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("hd1")
 
E.isogeny_class()
 

Elliptic curves in class 139650.hd

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
139650.hd1 139650b1 \([1, 0, 0, -943888, 353534642]\) \(-404731359773/864234\) \(-198586456769531250\) \([]\) \(4147200\) \(2.2037\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 139650.hd1 has rank \(0\).

Complex multiplication

The elliptic curves in class 139650.hd do not have complex multiplication.

Modular form 139650.2.a.hd

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{3} + q^{4} + q^{6} + q^{8} + q^{9} - 5 q^{11} + q^{12} + 7 q^{13} + q^{16} + 7 q^{17} + q^{18} + q^{19} + O(q^{20})\) Copy content Toggle raw display