Show commands:
SageMath
E = EllipticCurve("bf1")
E.isogeny_class()
Elliptic curves in class 30912bf
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
30912.l1 | 30912bf1 | \([0, -1, 0, -39361, 3029089]\) | \(-25727239787761/101406816\) | \(-26583188373504\) | \([]\) | \(69120\) | \(1.4335\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 30912bf1 has rank \(0\).
Complex multiplication
The elliptic curves in class 30912bf do not have complex multiplication.Modular form 30912.2.a.bf
sage: E.q_eigenform(10)