Properties

Label 123200.hw
Number of curves $1$
Conductor $123200$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("hw1")
 
E.isogeny_class()
 

Elliptic curves in class 123200.hw

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
123200.hw1 123200eh1 \([0, 0, 0, 200, -250]\) \(884736/539\) \(-539000000\) \([]\) \(80640\) \(0.36464\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 123200.hw1 has rank \(0\).

Complex multiplication

The elliptic curves in class 123200.hw do not have complex multiplication.

Modular form 123200.2.a.hw

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