Show commands:
SageMath
E = EllipticCurve("bh1")
E.isogeny_class()
Elliptic curves in class 281775.bh
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
281775.bh1 | 281775bh1 | \([1, 1, 0, -1451220875, -60338385759750]\) | \(-10730378053390609/43719326015625\) | \(-1377154602800645032320556640625\) | \([]\) | \(467195904\) | \(4.4684\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 281775.bh1 has rank \(1\).
Complex multiplication
The elliptic curves in class 281775.bh do not have complex multiplication.Modular form 281775.2.a.bh
sage: E.q_eigenform(10)