Properties

Label 224400bm
Number of curves $1$
Conductor $224400$
CM no
Rank $0$

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

Elliptic curves in class 224400bm

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
224400.fa1 224400bm1 \([0, 1, 0, -36775408, 232815039188]\) \(-85944135790429956649/316171526414008320\) \(-20234977690496532480000000\) \([]\) \(42301440\) \(3.5415\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 224400bm1 has rank \(0\).

Complex multiplication

The elliptic curves in class 224400bm do not have complex multiplication.

Modular form 224400.2.a.bm

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