Properties

Label 4896l
Number of curves $1$
Conductor $4896$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("l1")
 
E.isogeny_class()
 

Elliptic curves in class 4896l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
4896.p1 4896l1 \([0, 0, 0, -1992, 97072]\) \(-292754944/1193859\) \(-3564843872256\) \([]\) \(7680\) \(1.0938\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 4896l1 has rank \(1\).

Complex multiplication

The elliptic curves in class 4896l do not have complex multiplication.

Modular form 4896.2.a.l

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