Properties

Label 14400.bm
Number of curves $1$
Conductor $14400$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("bm1")
 
E.isogeny_class()
 

Elliptic curves in class 14400.bm

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
14400.bm1 14400bg1 \([0, 0, 0, 180, 2160]\) \(270\) \(-2388787200\) \([]\) \(5376\) \(0.48236\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 14400.bm1 has rank \(0\).

Complex multiplication

The elliptic curves in class 14400.bm do not have complex multiplication.

Modular form 14400.2.a.bm

sage: E.q_eigenform(10)
 
\(q - 2 q^{7} + q^{11} + 4 q^{13} + 5 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display