Properties

Label 4400be
Number of curves $1$
Conductor $4400$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("be1")
 
E.isogeny_class()
 

Elliptic curves in class 4400be

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
4400.b1 4400be1 \([0, 0, 0, -5875, -668750]\) \(-2803221/22528\) \(-180224000000000\) \([]\) \(21120\) \(1.4183\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 4400be1 has rank \(0\).

Complex multiplication

The elliptic curves in class 4400be do not have complex multiplication.

Modular form 4400.2.a.be

sage: E.q_eigenform(10)
 
\(q - 3 q^{3} - q^{7} + 6 q^{9} + q^{11} + 5 q^{17} + 7 q^{19} + O(q^{20})\) Copy content Toggle raw display