Show commands:
SageMath
E = EllipticCurve("en1")
E.isogeny_class()
Elliptic curves in class 227430en
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
227430.cg1 | 227430en1 | \([1, -1, 0, -489180879, 4147269839685]\) | \(1045624609074291409/5003023725000\) | \(61942524076454831691525000\) | \([]\) | \(91929600\) | \(3.7980\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 227430en1 has rank \(1\).
Complex multiplication
The elliptic curves in class 227430en do not have complex multiplication.Modular form 227430.2.a.en
sage: E.q_eigenform(10)