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SageMath
E = EllipticCurve("db1")
E.isogeny_class()
Elliptic curves in class 176610db
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 176610.o1 | 176610db1 | \([1, 1, 0, -66396822, -208270021644]\) | \(-38491922727336654149632801/1148390856900000\) | \(-965796710652900000\) | \([]\) | \(14784000\) | \(2.9577\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 176610db1 has rank \(1\).
Complex multiplication
The elliptic curves in class 176610db do not have complex multiplication.Modular form 176610.2.a.db
sage: E.q_eigenform(10)