Properties

Label 418950dm
Number of curves $1$
Conductor $418950$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("dm1")
 
E.isogeny_class()
 

Elliptic curves in class 418950dm

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
418950.dm1 418950dm1 \([1, -1, 0, 435258, -526875084]\) \(272199695/3735552\) \(-125149923763200000000\) \([]\) \(11796480\) \(2.5371\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 418950dm1 has rank \(1\).

Complex multiplication

The elliptic curves in class 418950dm do not have complex multiplication.

Modular form 418950.2.a.dm

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{8} - q^{11} + 4 q^{13} + q^{16} - 4 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display