Properties

Label 30096o
Number of curves $1$
Conductor $30096$
CM no
Rank $1$

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

Elliptic curves in class 30096o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
30096.k1 30096o1 \([0, 0, 0, 24, -36]\) \(221184/209\) \(-1444608\) \([]\) \(4224\) \(-0.13089\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 30096o1 has rank \(1\).

Complex multiplication

The elliptic curves in class 30096o do not have complex multiplication.

Modular form 30096.2.a.o

sage: E.q_eigenform(10)
 
\(q - 2 q^{5} + 4 q^{7} + q^{11} + q^{13} + 3 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display