Properties

Label 382200p
Number of curves $1$
Conductor $382200$
CM no
Rank $0$

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

Elliptic curves in class 382200p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
382200.p1 382200p1 \([0, -1, 0, -710208, -230343588]\) \(-80850912100/85293\) \(-41793570000000000\) \([]\) \(4331520\) \(2.1063\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 382200p1 has rank \(0\).

Complex multiplication

The elliptic curves in class 382200p do not have complex multiplication.

Modular form 382200.2.a.p

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{9} - 4 q^{11} + q^{13} - 2 q^{17} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display