Show commands:
SageMath
E = EllipticCurve("jj1")
E.isogeny_class()
Elliptic curves in class 382200.jj
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
382200.jj1 | 382200jj1 | \([0, 1, 0, -160883, 24788238]\) | \(-767228471296/142155\) | \(-85328538750000\) | \([]\) | \(1903104\) | \(1.6755\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 382200.jj1 has rank \(1\).
Complex multiplication
The elliptic curves in class 382200.jj do not have complex multiplication.Modular form 382200.2.a.jj
sage: E.q_eigenform(10)