Properties

Label 382200er
Number of curves $1$
Conductor $382200$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("er1")
 
E.isogeny_class()
 

Elliptic curves in class 382200er

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
382200.er1 382200er1 \([0, -1, 0, 7992, -65988]\) \(71997884/43875\) \(-34398000000000\) \([]\) \(1078272\) \(1.2866\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 382200er1 has rank \(1\).

Complex multiplication

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

Modular form 382200.2.a.er

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{9} + 5 q^{11} - q^{13} + q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display