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SageMath
E = EllipticCurve("is1")
E.isogeny_class()
Elliptic curves in class 227136is
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 227136.dc1 | 227136is1 | \([0, -1, 0, -81345, -10235967]\) | \(-47045881/8736\) | \(-11053826945581056\) | \([]\) | \(1290240\) | \(1.8029\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 227136is1 has rank \(0\).
Complex multiplication
The elliptic curves in class 227136is do not have complex multiplication.Modular form 227136.2.a.is
sage: E.q_eigenform(10)