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SageMath
E = EllipticCurve("dq1")
E.isogeny_class()
Elliptic curves in class 259182.dq
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
259182.dq1 | 259182dq1 | \([1, -1, 1, -3850330859, -86817506677701]\) | \(1090718342617689660877299/68598829524107395072\) | \(397028745036830440749388529664\) | \([]\) | \(508400640\) | \(4.4306\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 259182.dq1 has rank \(0\).
Complex multiplication
The elliptic curves in class 259182.dq do not have complex multiplication.Modular form 259182.2.a.dq
sage: E.q_eigenform(10)