Properties

Label 348726.m
Number of curves $1$
Conductor $348726$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("m1")
 
E.isogeny_class()
 

Elliptic curves in class 348726.m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
348726.m1 348726m1 \([1, 0, 1, -87370, 10063040]\) \(-565964472582793/8641957716\) \(-1126228571506836\) \([]\) \(4176000\) \(1.6907\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 348726.m1 has rank \(2\).

Complex multiplication

The elliptic curves in class 348726.m do not have complex multiplication.

Modular form 348726.2.a.m

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{3} + q^{4} - 3 q^{5} - q^{6} + q^{7} - q^{8} + q^{9} + 3 q^{10} - 5 q^{11} + q^{12} - 6 q^{13} - q^{14} - 3 q^{15} + q^{16} - 3 q^{17} - q^{18} + O(q^{20})\) Copy content Toggle raw display