Show commands:
SageMath
E = EllipticCurve("bm1")
E.isogeny_class()
Elliptic curves in class 283220.bm
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
283220.bm1 | 283220bm1 | \([0, 1, 0, -14802965, 16301662775]\) | \(205520896/53125\) | \(92728415064003661600000\) | \([]\) | \(15966720\) | \(3.1162\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 283220.bm1 has rank \(0\).
Complex multiplication
The elliptic curves in class 283220.bm do not have complex multiplication.Modular form 283220.2.a.bm
sage: E.q_eigenform(10)