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SageMath
E = EllipticCurve("iq1")
E.isogeny_class()
Elliptic curves in class 430950iq
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 430950.iq1 | 430950iq1 | \([1, 0, 0, -3063213, 2023530417]\) | \(249395415529/5508000\) | \(70203825176062500000\) | \([]\) | \(17971200\) | \(2.5960\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 430950iq1 has rank \(0\).
Complex multiplication
The elliptic curves in class 430950iq do not have complex multiplication.Modular form 430950.2.a.iq
sage: E.q_eigenform(10)