Properties

Label 433200.o
Number of curves $1$
Conductor $433200$
CM no
Rank $1$

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

Elliptic curves in class 433200.o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
433200.o1 433200o1 \([0, -1, 0, -74080208, 255714558912]\) \(-23891790625/1181952\) \(-2224238925588480000000000\) \([]\) \(82944000\) \(3.4331\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 433200.o1 has rank \(1\).

Complex multiplication

The elliptic curves in class 433200.o do not have complex multiplication.

Modular form 433200.2.a.o

sage: E.q_eigenform(10)
 
\(q - q^{3} - 4 q^{7} + q^{9} + q^{11} + 8 q^{17} + O(q^{20})\) Copy content Toggle raw display