Properties

Label 2450.z
Number of curves $1$
Conductor $2450$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("z1")
 
E.isogeny_class()
 

Elliptic curves in class 2450.z

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
2450.z1 2450bd1 \([1, -1, 1, -131305, 17430697]\) \(2268945/128\) \(14123762450000000\) \([]\) \(17640\) \(1.8536\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 2450.z1 has rank \(0\).

Complex multiplication

The elliptic curves in class 2450.z do not have complex multiplication.

Modular form 2450.2.a.z

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{4} + q^{8} - 3 q^{9} - 2 q^{11} + q^{16} + 7 q^{17} - 3 q^{18} + O(q^{20})\) Copy content Toggle raw display