Properties

Label 31680.g
Number of curves $1$
Conductor $31680$
CM no
Rank $0$

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

Elliptic curves in class 31680.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
31680.g1 31680cz1 \([0, 0, 0, -117228, -15450352]\) \(-7458308028872/859375\) \(-20528640000000\) \([]\) \(134400\) \(1.5813\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 31680.g1 has rank \(0\).

Complex multiplication

The elliptic curves in class 31680.g do not have complex multiplication.

Modular form 31680.2.a.g

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