Properties

Label 966.h
Number of curves $1$
Conductor $966$
CM no
Rank $0$

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Show commands: SageMath
sage: E = EllipticCurve("h1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 966.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
966.h1 966h1 \([1, 1, 1, -615, -6147]\) \(-25727239787761/101406816\) \(-101406816\) \([]\) \(360\) \(0.39378\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 966.h1 has rank \(0\).

Complex multiplication

The elliptic curves in class 966.h do not have complex multiplication.

Modular form 966.2.a.h

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{3} + q^{4} + q^{5} - q^{6} + q^{7} + q^{8} + q^{9} + q^{10} - q^{12} - q^{13} + q^{14} - q^{15} + q^{16} + 4q^{17} + q^{18} + 4q^{19} + O(q^{20})\)  Toggle raw display