Properties

Label 110400bk
Number of curves $1$
Conductor $110400$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("bk1")
 
E.isogeny_class()
 

Elliptic curves in class 110400bk

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
110400.bc1 110400bk1 \([0, -1, 0, -4513, 116257]\) \(1551443665/29808\) \(195349708800\) \([]\) \(147456\) \(0.95952\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 110400bk1 has rank \(2\).

Complex multiplication

The elliptic curves in class 110400bk do not have complex multiplication.

Modular form 110400.2.a.bk

sage: E.q_eigenform(10)
 
\(q - q^{3} - 3 q^{7} + q^{9} + 3 q^{11} - 3 q^{13} + 4 q^{17} + 3 q^{19} + O(q^{20})\) Copy content Toggle raw display