Properties

Label 303600o
Number of curves $1$
Conductor $303600$
CM no
Rank $2$

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

Elliptic curves in class 303600o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
303600.o1 303600o1 \([0, -1, 0, 4192, -178848]\) \(159079408750/357746301\) \(-18316610611200\) \([]\) \(622080\) \(1.2290\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 303600o1 has rank \(2\).

Complex multiplication

The elliptic curves in class 303600o do not have complex multiplication.

Modular form 303600.2.a.o

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