Show commands:
SageMath
E = EllipticCurve("jj1")
E.isogeny_class()
Elliptic curves in class 227850jj
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
227850.m1 | 227850jj1 | \([1, 1, 0, 1267850, 1262170750]\) | \(2502202511711/9082031250\) | \(-818064106750488281250\) | \([]\) | \(12418560\) | \(2.6957\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 227850jj1 has rank \(1\).
Complex multiplication
The elliptic curves in class 227850jj do not have complex multiplication.Modular form 227850.2.a.jj
sage: E.q_eigenform(10)