Properties

Label 100200.m
Number of curves $1$
Conductor $100200$
CM no
Rank $0$

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

Elliptic curves in class 100200.m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
100200.m1 100200w1 \([0, -1, 0, -7408, -243188]\) \(-1405190738/1503\) \(-48096000000\) \([]\) \(80640\) \(0.96603\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 100200.m1 has rank \(0\).

Complex multiplication

The elliptic curves in class 100200.m do not have complex multiplication.

Modular form 100200.2.a.m

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{7} + q^{9} - 2 q^{11} - 2 q^{13} + O(q^{20})\) Copy content Toggle raw display