Properties

Label 51600.ch
Number of curves $1$
Conductor $51600$
CM no
Rank $0$

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Show commands for: SageMath
sage: E = EllipticCurve("ch1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 51600.ch

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
51600.ch1 51600dm1 \([0, 1, 0, -5808, -189612]\) \(-338608873/41796\) \(-2674944000000\) \([]\) \(103680\) \(1.1192\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 51600.ch1 has rank \(0\).

Complex multiplication

The elliptic curves in class 51600.ch do not have complex multiplication.

Modular form 51600.2.a.ch

sage: E.q_eigenform(10)
 
\(q + q^{3} - 3q^{7} + q^{9} + 5q^{11} + 3q^{13} - 7q^{19} + O(q^{20})\)  Toggle raw display