Show commands:
SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 76050.bb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
76050.bb1 | 76050bg1 | \([1, -1, 0, -1255617, -541686339]\) | \(-2488672890625/2426112\) | \(-213421661587180800\) | \([]\) | \(1548288\) | \(2.2459\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 76050.bb1 has rank \(0\).
Complex multiplication
The elliptic curves in class 76050.bb do not have complex multiplication.Modular form 76050.2.a.bb
sage: E.q_eigenform(10)