Properties

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

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Show commands: SageMath
E = EllipticCurve("e1")
 
E.isogeny_class()
 

Elliptic curves in class 344800e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
344800.e1 344800e1 \([0, -1, 0, 142, 712]\) \(314432/431\) \(-431000000\) \([]\) \(103680\) \(0.34251\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 344800e1 has rank \(2\).

Complex multiplication

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

Modular form 344800.2.a.e

sage: E.q_eigenform(10)
 
\(q - q^{3} + 2 q^{7} - 2 q^{9} + 3 q^{11} - 4 q^{13} - 7 q^{19} + O(q^{20})\) Copy content Toggle raw display