Show commands:
SageMath
E = EllipticCurve("bd1")
E.isogeny_class()
Elliptic curves in class 344850bd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
344850.bd1 | 344850bd1 | \([1, 1, 0, 119425, 75757125]\) | \(272199695/3735552\) | \(-2585061811200000000\) | \([]\) | \(5491200\) | \(2.2138\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 344850bd1 has rank \(0\).
Complex multiplication
The elliptic curves in class 344850bd do not have complex multiplication.Modular form 344850.2.a.bd
sage: E.q_eigenform(10)