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SageMath
E = EllipticCurve("io1")
E.isogeny_class()
Elliptic curves in class 149058.io
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 149058.io1 | 149058cr1 | \([1, -1, 1, -54035078, 107102188379]\) | \(249395415529/73513818\) | \(5143178125212908890884138\) | \([]\) | \(50319360\) | \(3.4474\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 149058.io1 has rank \(0\).
Complex multiplication
The elliptic curves in class 149058.io do not have complex multiplication.Modular form 149058.2.a.io
sage: E.q_eigenform(10)