Properties

Label 4650.ba
Number of curves $1$
Conductor $4650$
CM no
Rank $1$

Related objects

Downloads

Learn more

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

Elliptic curves in class 4650.ba

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
4650.ba1 4650bc1 \([1, 1, 1, 12, 21]\) \(7604375/8928\) \(-223200\) \([]\) \(480\) \(-0.28740\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 4650.ba1 has rank \(1\).

Complex multiplication

The elliptic curves in class 4650.ba do not have complex multiplication.

Modular form 4650.2.a.ba

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{3} + q^{4} - q^{6} - q^{7} + q^{8} + q^{9} - q^{11} - q^{12} + q^{13} - q^{14} + q^{16} - 6 q^{17} + q^{18} + O(q^{20})\) Copy content Toggle raw display