Show commands:
SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 227430.q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
227430.q1 | 227430fj1 | \([1, -1, 0, -1389015, 669143965]\) | \(-3119627664954721/228562145280\) | \(-21714320107240427520\) | \([]\) | \(7547904\) | \(2.4596\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 227430.q1 has rank \(0\).
Complex multiplication
The elliptic curves in class 227430.q do not have complex multiplication.Modular form 227430.2.a.q
sage: E.q_eigenform(10)