Properties

Label 954.f
Number of curves $1$
Conductor $954$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("f1")
 
E.isogeny_class()
 

Elliptic curves in class 954.f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
954.f1 954c1 \([1, -1, 0, -108, -1328]\) \(-192100033/976896\) \(-712157184\) \([]\) \(704\) \(0.38299\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 954.f1 has rank \(0\).

Complex multiplication

The elliptic curves in class 954.f do not have complex multiplication.

Modular form 954.2.a.f

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} + 3 q^{5} - 4 q^{7} - q^{8} - 3 q^{10} + 5 q^{11} - 2 q^{13} + 4 q^{14} + q^{16} - 5 q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display