Show commands:
SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 27200.bb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
27200.bb1 | 27200bk1 | \([0, -1, 0, -28833, 2485537]\) | \(-5177717/2176\) | \(-1114112000000000\) | \([]\) | \(107520\) | \(1.5951\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 27200.bb1 has rank \(1\).
Complex multiplication
The elliptic curves in class 27200.bb do not have complex multiplication.Modular form 27200.2.a.bb
sage: E.q_eigenform(10)