Properties

Label 14400dh
Number of curves $1$
Conductor $14400$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("dh1")
 
E.isogeny_class()
 

Elliptic curves in class 14400dh

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
14400.dd1 14400dh1 \([0, 0, 0, -6000, -180000]\) \(-138240\) \(-172800000000\) \([]\) \(15360\) \(0.98834\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 14400dh1 has rank \(1\).

Complex multiplication

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

Modular form 14400.2.a.dh

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