Properties

Label 369800.f
Number of curves $1$
Conductor $369800$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("f1")
 
E.isogeny_class()
 

Elliptic curves in class 369800.f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
369800.f1 369800f1 \([0, 1, 0, -15408, 317286688]\) \(-2/215\) \(-43490977777120000000\) \([]\) \(9934848\) \(2.4471\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 369800.f1 has rank \(1\).

Complex multiplication

The elliptic curves in class 369800.f do not have complex multiplication.

Modular form 369800.2.a.f

sage: E.q_eigenform(10)
 
\(q - 2 q^{3} + 3 q^{7} + q^{9} - 2 q^{11} + q^{13} + 6 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display