Show commands:
SageMath
E = EllipticCurve("bj1")
E.isogeny_class()
Elliptic curves in class 27225.bj
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
27225.bj1 | 27225i1 | \([1, -1, 0, -127617, 94787666]\) | \(-675/11\) | \(-3745761589775390625\) | \([]\) | \(345600\) | \(2.2452\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 27225.bj1 has rank \(0\).
Complex multiplication
The elliptic curves in class 27225.bj do not have complex multiplication.Modular form 27225.2.a.bj
sage: E.q_eigenform(10)