Show commands:
SageMath
E = EllipticCurve("cf1")
E.isogeny_class()
Elliptic curves in class 95550cf
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
95550.n1 | 95550cf1 | \([1, 1, 0, -628450, -240941000]\) | \(-29267443515625/9744213492\) | \(-9139006482145312500\) | \([]\) | \(2764800\) | \(2.3504\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 95550cf1 has rank \(1\).
Complex multiplication
The elliptic curves in class 95550cf do not have complex multiplication.Modular form 95550.2.a.cf
sage: E.q_eigenform(10)