Properties

Label 273600bb
Number of curves $1$
Conductor $273600$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bb1")
 
E.isogeny_class()
 

Elliptic curves in class 273600bb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
273600.bb1 273600bb1 \([0, 0, 0, 10125, 2767500]\) \(233280/6859\) \(-3375142425000000\) \([]\) \(1244160\) \(1.6597\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 273600bb1 has rank \(1\).

Complex multiplication

The elliptic curves in class 273600bb do not have complex multiplication.

Modular form 273600.2.a.bb

sage: E.q_eigenform(10)
 
\(q - 4 q^{7} - q^{11} - 6 q^{13} - 4 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display