Show commands:
SageMath
E = EllipticCurve("bm1")
E.isogeny_class()
Elliptic curves in class 182070.bm
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
182070.bm1 | 182070cm1 | \([1, -1, 0, -819, -10017]\) | \(-288568081/47250\) | \(-9954677250\) | \([]\) | \(155520\) | \(0.64591\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 182070.bm1 has rank \(0\).
Complex multiplication
The elliptic curves in class 182070.bm do not have complex multiplication.Modular form 182070.2.a.bm
sage: E.q_eigenform(10)