Properties

Label 54896d
Number of curves $1$
Conductor $54896$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("d1")
 
E.isogeny_class()
 

Elliptic curves in class 54896d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
54896.n1 54896d1 \([0, 0, 0, -79, -274]\) \(-212992848/3431\) \(-878336\) \([]\) \(28160\) \(-0.058945\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 54896d1 has rank \(1\).

Complex multiplication

The elliptic curves in class 54896d do not have complex multiplication.

Modular form 54896.2.a.d

sage: E.q_eigenform(10)
 
\(q + 3 q^{3} - 3 q^{5} + 4 q^{7} + 6 q^{9} + 4 q^{11} - 5 q^{13} - 9 q^{15} - 6 q^{17} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display