Properties

Label 349448.r
Number of curves $1$
Conductor $349448$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("r1")
 
E.isogeny_class()
 

Elliptic curves in class 349448.r

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
349448.r1 349448r1 \([0, 1, 0, -18535304, -30720960547]\) \(1462911232\) \(481398686791632016\) \([]\) \(12257280\) \(2.7079\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 349448.r1 has rank \(1\).

Complex multiplication

The elliptic curves in class 349448.r do not have complex multiplication.

Modular form 349448.2.a.r

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