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SageMath
E = EllipticCurve("ck1")
E.isogeny_class()
Elliptic curves in class 185150ck
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 185150.ba1 | 185150ck1 | \([1, 1, 0, -25696450, -87824383500]\) | \(-12268469813/14680064\) | \(-2245332569976832000000000\) | \([]\) | \(36167040\) | \(3.3664\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 185150ck1 has rank \(0\).
Complex multiplication
The elliptic curves in class 185150ck do not have complex multiplication.Modular form 185150.2.a.ck
sage: E.q_eigenform(10)