Show commands:
SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 346560.bb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
346560.bb1 | 346560bb1 | \([0, -1, 0, -36581, 47004981]\) | \(-311296/54675\) | \(-950862140689075200\) | \([]\) | \(5515776\) | \(2.1290\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 346560.bb1 has rank \(2\).
Complex multiplication
The elliptic curves in class 346560.bb do not have complex multiplication.Modular form 346560.2.a.bb
sage: E.q_eigenform(10)