Properties

Label 344800c
Number of curves $1$
Conductor $344800$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("c1")
 
E.isogeny_class()
 

Elliptic curves in class 344800c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
344800.c1 344800c1 \([0, 1, 0, -758, -14012]\) \(-48228544/53875\) \(-53875000000\) \([]\) \(359424\) \(0.75368\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 344800c1 has rank \(2\).

Complex multiplication

The elliptic curves in class 344800c do not have complex multiplication.

Modular form 344800.2.a.c

sage: E.q_eigenform(10)
 
\(q - 2 q^{3} - 5 q^{7} + q^{9} - 3 q^{11} + 2 q^{13} + 3 q^{17} + 7 q^{19} + O(q^{20})\) Copy content Toggle raw display