Show commands:
SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 254320.bb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
254320.bb1 | 254320bb1 | \([0, 0, 0, -93347, -61304414]\) | \(-3148281/55000\) | \(-1571498636308480000\) | \([]\) | \(2467584\) | \(2.1727\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 254320.bb1 has rank \(0\).
Complex multiplication
The elliptic curves in class 254320.bb do not have complex multiplication.Modular form 254320.2.a.bb
sage: E.q_eigenform(10)