Properties

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

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

Elliptic curves in class 14400.d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
14400.d1 14400ei1 \([0, 0, 0, -210000, 44300000]\) \(-8780800/2187\) \(-255091680000000000\) \([]\) \(215040\) \(2.0580\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 14400.d1 has rank \(1\).

Complex multiplication

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

Modular form 14400.2.a.d

sage: E.q_eigenform(10)
 
\(q - 5 q^{7} + 6 q^{11} - 3 q^{13} - 2 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display