Properties

Label 351975.g
Number of curves $1$
Conductor $351975$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("g1")
 
E.isogeny_class()
 

Elliptic curves in class 351975.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
351975.g1 351975g1 \([1, 1, 1, -16433, 836516]\) \(-417267265/19773\) \(-23255955125325\) \([]\) \(870912\) \(1.3275\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 351975.g1 has rank \(2\).

Complex multiplication

The elliptic curves in class 351975.g do not have complex multiplication.

Modular form 351975.2.a.g

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