Properties

Label 31200.v
Number of curves $1$
Conductor $31200$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("v1")
 
E.isogeny_class()
 

Elliptic curves in class 31200.v

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
31200.v1 31200i1 \([0, -1, 0, -490833, 132789537]\) \(-326938350400/767637\) \(-30705480000000000\) \([]\) \(460800\) \(2.0439\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 31200.v1 has rank \(0\).

Complex multiplication

The elliptic curves in class 31200.v do not have complex multiplication.

Modular form 31200.2.a.v

sage: E.q_eigenform(10)
 
\(q - q^{3} + 3 q^{7} + q^{9} - 3 q^{11} + q^{13} + 7 q^{17} - 8 q^{19} + O(q^{20})\) Copy content Toggle raw display