Properties

Label 304200.o
Number of curves $1$
Conductor $304200$
CM no
Rank $0$

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

Elliptic curves in class 304200.o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
304200.o1 304200o1 \([0, 0, 0, -39051675, -93212393625]\) \(44302512384/390625\) \(58073017149316406250000\) \([]\) \(33546240\) \(3.1915\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 304200.o1 has rank \(0\).

Complex multiplication

The elliptic curves in class 304200.o do not have complex multiplication.

Modular form 304200.2.a.o

sage: E.q_eigenform(10)
 
\(q - 3 q^{7} - 5 q^{11} + 3 q^{17} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display