Properties

Label 338100m
Number of curves $1$
Conductor $338100$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("m1")
 
E.isogeny_class()
 

Elliptic curves in class 338100m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
338100.m1 338100m1 \([0, -1, 0, -2035133, -1260157863]\) \(-5775106048/912525\) \(-147294700910700000000\) \([]\) \(12773376\) \(2.5983\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 338100m1 has rank \(1\).

Complex multiplication

The elliptic curves in class 338100m do not have complex multiplication.

Modular form 338100.2.a.m

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