Properties

Label 346560.ba
Number of curves $1$
Conductor $346560$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("ba1")
 
E.isogeny_class()
 

Elliptic curves in class 346560.ba

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
346560.ba1 346560ba1 \([0, -1, 0, -3980451461, 93168153841821]\) \(25065245484338062336/1029455660473245\) \(286454990562290046588322529280\) \([]\) \(478033920\) \(4.4178\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 346560.ba1 has rank \(1\).

Complex multiplication

The elliptic curves in class 346560.ba do not have complex multiplication.

Modular form 346560.2.a.ba

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