Properties

Label 412224ba
Number of curves $1$
Conductor $412224$
CM no
Rank $2$

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

Elliptic curves in class 412224ba

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
412224.ba1 412224ba1 \([0, -1, 0, -26817, 1692513]\) \(8136367582897/37563912\) \(9847154147328\) \([]\) \(903168\) \(1.3437\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 412224ba1 has rank \(2\).

Complex multiplication

The elliptic curves in class 412224ba do not have complex multiplication.

Modular form 412224.2.a.ba

sage: E.q_eigenform(10)
 
\(q - q^{3} + 2 q^{5} - 3 q^{7} + q^{9} + 3 q^{11} - 2 q^{13} - 2 q^{15} - 3 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display