Show commands:
SageMath
E = EllipticCurve("bq1")
E.isogeny_class()
Elliptic curves in class 76050bq
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
76050.s1 | 76050bq1 | \([1, -1, 0, -618287292, -5977274142384]\) | \(-2813198004118489/33177600000\) | \(-308275733403705600000000000\) | \([]\) | \(40734720\) | \(3.8953\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 76050bq1 has rank \(0\).
Complex multiplication
The elliptic curves in class 76050bq do not have complex multiplication.Modular form 76050.2.a.bq
sage: E.q_eigenform(10)