Properties

Label 235200.bac
Number of curves $1$
Conductor $235200$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bac1")
 
E.isogeny_class()
 

Elliptic curves in class 235200.bac

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
235200.bac1 235200bac1 \([0, 1, 0, -365633, 84976863]\) \(-215474070728/3645\) \(-91445760000000\) \([]\) \(1216512\) \(1.8089\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 235200.bac1 has rank \(1\).

Complex multiplication

The elliptic curves in class 235200.bac do not have complex multiplication.

Modular form 235200.2.a.bac

sage: E.q_eigenform(10)
 
\(q + q^{3} + q^{9} + 3 q^{11} + q^{13} + 4 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display