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SageMath
E = EllipticCurve("jd1")
E.isogeny_class()
Elliptic curves in class 193600.jd
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 193600.jd1 | 193600fc1 | \([0, 0, 0, -55660, 6921200]\) | \(-2628072/1331\) | \(-9658153742336000\) | \([]\) | \(2396160\) | \(1.7720\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 193600.jd1 has rank \(0\).
Complex multiplication
The elliptic curves in class 193600.jd do not have complex multiplication.Modular form 193600.2.a.jd
sage: E.q_eigenform(10)