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SageMath
E = EllipticCurve("io1")
E.isogeny_class()
Elliptic curves in class 476850.io
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 476850.io1 | 476850io1 | \([1, 0, 0, -20688938, -44033948508]\) | \(-2596717791529849/718080000000\) | \(-270823524180000000000000\) | \([]\) | \(97542144\) | \(3.2121\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 476850.io1 has rank \(0\).
Complex multiplication
The elliptic curves in class 476850.io do not have complex multiplication.Modular form 476850.2.a.io
sage: E.q_eigenform(10)