Properties

Label 331200.o
Number of curves $1$
Conductor $331200$
CM no
Rank $2$

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

Elliptic curves in class 331200.o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
331200.o1 331200o1 \([0, 0, 0, -1260, 30320]\) \(-10001880/12167\) \(-269114572800\) \([]\) \(442368\) \(0.88686\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 331200.o1 has rank \(2\).

Complex multiplication

The elliptic curves in class 331200.o do not have complex multiplication.

Modular form 331200.2.a.o

sage: E.q_eigenform(10)
 
\(q - 5 q^{7} + 4 q^{11} - q^{17} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display