Properties

Label 158400.cn
Number of curves $1$
Conductor $158400$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("cn1")
 
E.isogeny_class()
 

Elliptic curves in class 158400.cn

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
158400.cn1 158400no1 \([0, 0, 0, -2700, -291600]\) \(-675/11\) \(-35473489920000\) \([]\) \(294912\) \(1.2812\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 158400.cn1 has rank \(1\).

Complex multiplication

The elliptic curves in class 158400.cn do not have complex multiplication.

Modular form 158400.2.a.cn

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