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SageMath
E = EllipticCurve("io1")
E.isogeny_class()
Elliptic curves in class 382200io
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 382200.io1 | 382200io1 | \([0, 1, 0, 117, -2262]\) | \(14336/195\) | \(-2388750000\) | \([]\) | \(207360\) | \(0.48025\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 382200io1 has rank \(0\).
Complex multiplication
The elliptic curves in class 382200io do not have complex multiplication.Modular form 382200.2.a.io
sage: E.q_eigenform(10)