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SageMath
E = EllipticCurve("ib1")
E.isogeny_class()
Elliptic curves in class 369600.ib
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 369600.ib1 | 369600ib1 | \([0, -1, 0, 2335167, 15673677537]\) | \(13752365416655/1044457193472\) | \(-106952416611532800000000\) | \([]\) | \(31795200\) | \(3.0984\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 369600.ib1 has rank \(0\).
Complex multiplication
The elliptic curves in class 369600.ib do not have complex multiplication.Modular form 369600.2.a.ib
sage: E.q_eigenform(10)