Properties

Label 22800.d
Number of curves $1$
Conductor $22800$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("d1")
 
E.isogeny_class()
 

Elliptic curves in class 22800.d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
22800.d1 22800d1 \([0, -1, 0, 1367, -14363]\) \(70575104/61731\) \(-246924000000\) \([]\) \(26880\) \(0.87352\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 22800.d1 has rank \(1\).

Complex multiplication

The elliptic curves in class 22800.d do not have complex multiplication.

Modular form 22800.2.a.d

sage: E.q_eigenform(10)
 
\(q - q^{3} - 3 q^{7} + q^{9} + 5 q^{11} + 2 q^{13} + q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display