Properties

Label 363090dh
Number of curves $1$
Conductor $363090$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("dh1")
 
E.isogeny_class()
 

Elliptic curves in class 363090dh

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
363090.dh1 363090dh1 \([1, 0, 1, -12698022300913, 17859055810288145156]\) \(-1924614389270758801170113620446515123449/57368590462870627697502749640000000\) \(-6749357299366266477983500992396360000000\) \([]\) \(38947184640\) \(6.4208\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 363090dh1 has rank \(1\).

Complex multiplication

The elliptic curves in class 363090dh do not have complex multiplication.

Modular form 363090.2.a.dh

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{3} + q^{4} + q^{5} - q^{6} - q^{8} + q^{9} - q^{10} - 5 q^{11} + q^{12} - q^{13} + q^{15} + q^{16} - 3 q^{17} - q^{18} + q^{19} + O(q^{20})\) Copy content Toggle raw display