Properties

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

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Show commands: SageMath
sage: E = EllipticCurve("o1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 31200.o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
31200.o1 31200bj1 \([0, -1, 0, -13533, 1096437]\) \(-4283098624/5569395\) \(-356441280000000\) \([]\) \(107520\) \(1.4853\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 31200.o1 has rank \(1\).

Complex multiplication

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

Modular form 31200.2.a.o

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{7} + q^{9} + q^{11} + q^{13} + 3q^{17} + 6q^{19} + O(q^{20})\)  Toggle raw display