Properties

Label 4900.k
Number of curves $1$
Conductor $4900$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("k1")
 
E.isogeny_class()
 

Elliptic curves in class 4900.k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
4900.k1 4900d1 \([0, 0, 0, -245, -1715]\) \(-34560/7\) \(-329417200\) \([]\) \(1728\) \(0.35688\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 4900.k1 has rank \(1\).

Complex multiplication

The elliptic curves in class 4900.k do not have complex multiplication.

Modular form 4900.2.a.k

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