Properties

Label 309168p
Number of curves $1$
Conductor $309168$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("p1")
 
E.isogeny_class()
 

Elliptic curves in class 309168p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
309168.p1 309168p1 \([0, 0, 0, 384, 73136]\) \(2097152/775067\) \(-2314337660928\) \([]\) \(427680\) \(1.0516\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 309168p1 has rank \(0\).

Complex multiplication

The elliptic curves in class 309168p do not have complex multiplication.

Modular form 309168.2.a.p

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