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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 11088d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
11088.bc1 | 11088d1 | \([0, 0, 0, -27, -243]\) | \(-6912/77\) | \(-24249456\) | \([]\) | \(1536\) | \(0.098994\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 11088d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 11088d do not have complex multiplication.Modular form 11088.2.a.d
sage: E.q_eigenform(10)