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SageMath
E = EllipticCurve("dd1")
E.isogeny_class()
Elliptic curves in class 92736dd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
92736.x1 | 92736dd1 | \([0, 0, 0, -96, -544]\) | \(-221184/161\) | \(-71221248\) | \([]\) | \(27648\) | \(0.20635\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 92736dd1 has rank \(1\).
Complex multiplication
The elliptic curves in class 92736dd do not have complex multiplication.Modular form 92736.2.a.dd
sage: E.q_eigenform(10)