Properties

Label 349830.l
Number of curves $1$
Conductor $349830$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("l1")
 
E.isogeny_class()
 

Elliptic curves in class 349830.l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
349830.l1 349830l1 \([1, -1, 0, -8299680, -9244802800]\) \(-1462131510328404999/8045428750000\) \(-347912908467491250000\) \([]\) \(20966400\) \(2.7849\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 349830.l1 has rank \(0\).

Complex multiplication

The elliptic curves in class 349830.l do not have complex multiplication.

Modular form 349830.2.a.l

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