Show commands:
SageMath
E = EllipticCurve("be1")
E.isogeny_class()
Elliptic curves in class 161700.be
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 161700.be1 | 161700ev1 | \([0, -1, 0, -12658, -174528563]\) | \(-373698304/21923067375\) | \(-13159321191843750000\) | \([]\) | \(2903040\) | \(2.3475\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 161700.be1 has rank \(0\).
Complex multiplication
The elliptic curves in class 161700.be do not have complex multiplication.Modular form 161700.2.a.be
sage: E.q_eigenform(10)