Show commands:
SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 155298.d
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 155298.d1 | 155298be1 | \([1, 1, 0, -721735261, 7462791713617]\) | \(-41577414966035375046640594796377/423414849974636112190884\) | \(-423414849974636112190884\) | \([]\) | \(94180800\) | \(3.6919\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 155298.d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 155298.d do not have complex multiplication.Modular form 155298.2.a.d
sage: E.q_eigenform(10)