Properties

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

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Show commands: SageMath
E = EllipticCurve("fa1")
 
E.isogeny_class()
 

Elliptic curves in class 145200fa

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
145200.ba1 145200fa1 \([0, -1, 0, -1985408, 429453312]\) \(63088729/30720\) \(421446708756480000000\) \([]\) \(6690816\) \(2.6510\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 145200fa1 has rank \(1\).

Complex multiplication

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

Modular form 145200.2.a.fa

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