Properties

Label 372810.r
Number of curves $1$
Conductor $372810$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("r1")
 
E.isogeny_class()
 

Elliptic curves in class 372810.r

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
372810.r1 372810r1 \([1, 1, 0, -77918799904637, -264576561096415870371]\) \(2167489232916550298498135256818779540729/1502021162552927601049804687500000\) \(36255139450581506122344133081054687500000\) \([]\) \(74027520000\) \(6.7195\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 372810.r1 has rank \(0\).

Complex multiplication

The elliptic curves in class 372810.r do not have complex multiplication.

Modular form 372810.2.a.r

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} + q^{5} + q^{6} - q^{7} - q^{8} + q^{9} - q^{10} - q^{12} - 7 q^{13} + q^{14} - q^{15} + q^{16} - q^{18} + 8 q^{19} + O(q^{20})\) Copy content Toggle raw display