Properties

Label 92400.cy
Number of curves $1$
Conductor $92400$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("cy1")
 
E.isogeny_class()
 

Elliptic curves in class 92400.cy

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
92400.cy1 92400bd1 \([0, -1, 0, -2071433, 1144792197]\) \(153587764760452480000/526418089637517\) \(3369075773680108800\) \([]\) \(2350080\) \(2.4185\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 92400.cy1 has rank \(1\).

Complex multiplication

The elliptic curves in class 92400.cy do not have complex multiplication.

Modular form 92400.2.a.cy

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