Properties

Label 88200.hs
Number of curves $1$
Conductor $88200$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("hs1")
 
E.isogeny_class()
 

Elliptic curves in class 88200.hs

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
88200.hs1 88200cz1 \([0, 0, 0, -4542300, 3838684500]\) \(-30211716096/1071875\) \(-367722243787500000000\) \([]\) \(3870720\) \(2.7184\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 88200.hs1 has rank \(1\).

Complex multiplication

The elliptic curves in class 88200.hs do not have complex multiplication.

Modular form 88200.2.a.hs

sage: E.q_eigenform(10)
 
\(q + 5 q^{11} - 5 q^{13} + 7 q^{17} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display