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SageMath
E = EllipticCurve("de1")
E.isogeny_class()
Elliptic curves in class 161700de
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 161700.d1 | 161700de1 | \([0, -1, 0, 57167, -1630838]\) | \(573440/363\) | \(-13078892268750000\) | \([]\) | \(937440\) | \(1.7815\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 161700de1 has rank \(1\).
Complex multiplication
The elliptic curves in class 161700de do not have complex multiplication.Modular form 161700.2.a.de
sage: E.q_eigenform(10)