Properties

Label 485100.hn
Number of curves $1$
Conductor $485100$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("hn1")
 
E.isogeny_class()
 

Elliptic curves in class 485100.hn

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
485100.hn1 485100hn1 \([0, 0, 0, 77175, -8103375]\) \(48384/55\) \(-57784924023750000\) \([]\) \(3870720\) \(1.9027\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 485100.hn1 has rank \(0\).

Complex multiplication

The elliptic curves in class 485100.hn do not have complex multiplication.

Modular form 485100.2.a.hn

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