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SageMath
E = EllipticCurve("bd1")
E.isogeny_class()
Elliptic curves in class 17136bd
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 17136.r1 | 17136bd1 | \([0, 0, 0, -2102043, -1176009014]\) | \(-344002044213921241/1011143540736\) | \(-3019258434341044224\) | \([]\) | \(391680\) | \(2.4163\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 17136bd1 has rank \(0\).
Complex multiplication
The elliptic curves in class 17136bd do not have complex multiplication.Modular form 17136.2.a.bd
sage: E.q_eigenform(10)