Properties

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

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Show commands: SageMath
E = EllipticCurve("p1")
 
E.isogeny_class()
 

Elliptic curves in class 31200.p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
31200.p1 31200br1 \([0, -1, 0, 1167, -14463]\) \(109760/117\) \(-187200000000\) \([]\) \(30720\) \(0.84962\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 31200.p1 has rank \(1\).

Complex multiplication

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

Modular form 31200.2.a.p

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{7} + q^{9} + 5 q^{11} - q^{13} - 3 q^{17} + O(q^{20})\) Copy content Toggle raw display