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SageMath
E = EllipticCurve("dq1")
E.isogeny_class()
Elliptic curves in class 92736dq
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
92736.n1 | 92736dq1 | \([0, 0, 0, -2124, 47024]\) | \(-1197770328/386561\) | \(-342004432896\) | \([]\) | \(107520\) | \(0.92589\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 92736dq1 has rank \(2\).
Complex multiplication
The elliptic curves in class 92736dq do not have complex multiplication.Modular form 92736.2.a.dq
sage: E.q_eigenform(10)