Properties

Label 145200.z
Number of curves $1$
Conductor $145200$
CM no
Rank $1$

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

Elliptic curves in class 145200.z

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
145200.z1 145200ez1 \([0, -1, 0, -1008, 706752]\) \(-625/1188\) \(-215512521523200\) \([]\) \(414720\) \(1.4293\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 145200.z1 has rank \(1\).

Complex multiplication

The elliptic curves in class 145200.z do not have complex multiplication.

Modular form 145200.2.a.z

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