Show commands:
SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 418950e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
418950.e1 | 418950e1 | \([1, -1, 0, -744417, 714511741]\) | \(-694769929/2954880\) | \(-194031268521930000000\) | \([]\) | \(22579200\) | \(2.5780\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 418950e1 has rank \(2\).
Complex multiplication
The elliptic curves in class 418950e do not have complex multiplication.Modular form 418950.2.a.e
sage: E.q_eigenform(10)