Show commands:
SageMath
E = EllipticCurve("bc1")
E.isogeny_class()
Elliptic curves in class 422370bc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
422370.bc1 | 422370bc1 | \([1, -1, 0, -1350, -19980]\) | \(-54439939/4160\) | \(-20800877760\) | \([]\) | \(374400\) | \(0.72783\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 422370bc1 has rank \(2\).
Complex multiplication
The elliptic curves in class 422370bc do not have complex multiplication.Modular form 422370.2.a.bc
sage: E.q_eigenform(10)