Properties

Label 145200.a
Number of curves $1$
Conductor $145200$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("a1")
 
E.isogeny_class()
 

Elliptic curves in class 145200.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
145200.a1 145200jm1 \([0, -1, 0, -5978408, 3695727312]\) \(28471058/9375\) \(7781227380300000000000\) \([]\) \(13178880\) \(2.9035\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 145200.a1 has rank \(0\).

Complex multiplication

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

Modular form 145200.2.a.a

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