Properties

Label 145200ex
Number of curves $1$
Conductor $145200$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("ex1")
 
E.isogeny_class()
 

Elliptic curves in class 145200ex

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
145200.t1 145200ex1 \([0, -1, 0, -2600088, -1612842768]\) \(1296633753003985/17006112\) \(25496216145100800\) \([]\) \(2903040\) \(2.2923\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 145200ex1 has rank \(1\).

Complex multiplication

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

Modular form 145200.2.a.ex

sage: E.q_eigenform(10)
 
\(q - q^{3} - 3 q^{7} + q^{9} - 6 q^{13} - 2 q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display