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SageMath
E = EllipticCurve("dt1")
E.isogeny_class()
Elliptic curves in class 92736.dt
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
92736.dt1 | 92736c1 | \([0, 0, 0, -972, 11888]\) | \(-14348907/322\) | \(-2279079936\) | \([]\) | \(43008\) | \(0.58392\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 92736.dt1 has rank \(1\).
Complex multiplication
The elliptic curves in class 92736.dt do not have complex multiplication.Modular form 92736.2.a.dt
sage: E.q_eigenform(10)