Properties

 Label 4900n Number of curves $1$ Conductor $4900$ CM no Rank $1$

Related objects

Show commands for: SageMath
sage: E = EllipticCurve("n1")

sage: E.isogeny_class()

Elliptic curves in class 4900n

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
4900.u1 4900n1 [0, 0, 0, 39200, -9089500] [] 69120 $$\Gamma_0(N)$$-optimal

Rank

sage: E.rank()

The elliptic curve 4900n1 has rank $$1$$.

Complex multiplication

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

Modular form4900.2.a.n

sage: E.q_eigenform(10)

$$q + 3q^{3} + 6q^{9} - 5q^{11} - 3q^{13} - q^{17} - 6q^{19} + O(q^{20})$$