Properties

Label 215600.ba
Number of curves $1$
Conductor $215600$
CM no
Rank $2$

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

Elliptic curves in class 215600.ba

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
215600.ba1 215600q1 \([0, 1, 0, -2333, -32537]\) \(40960/11\) \(377300000000\) \([]\) \(299520\) \(0.92955\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 215600.ba1 has rank \(2\).

Complex multiplication

The elliptic curves in class 215600.ba do not have complex multiplication.

Modular form 215600.2.a.ba

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