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SageMath
E = EllipticCurve("dh1")
E.isogeny_class()
Elliptic curves in class 163254dh
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
163254.l1 | 163254dh1 | \([1, 1, 0, -27228607, -63855158843]\) | \(-78167567758120133372521/16416253960463056896\) | \(-468864629364785368006656\) | \([]\) | \(25542144\) | \(3.2637\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 163254dh1 has rank \(0\).
Complex multiplication
The elliptic curves in class 163254dh do not have complex multiplication.Modular form 163254.2.a.dh
sage: E.q_eigenform(10)