Show commands:
SageMath
E = EllipticCurve("bz1")
E.isogeny_class()
Elliptic curves in class 303450.bz
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
303450.bz1 | 303450bz1 | \([1, 0, 1, -1883564876, -29813694422902]\) | \(169509511882593486025/10023474416320512\) | \(43700828902700589640581120000\) | \([]\) | \(309623040\) | \(4.2487\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 303450.bz1 has rank \(0\).
Complex multiplication
The elliptic curves in class 303450.bz do not have complex multiplication.Modular form 303450.2.a.bz
sage: E.q_eigenform(10)