Show commands:
SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 379050.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
379050.d1 | 379050d1 | \([1, 1, 0, -237545, -418407675]\) | \(-252076657013/12708347904\) | \(-74734427899772928000\) | \([]\) | \(16450560\) | \(2.4933\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 379050.d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 379050.d do not have complex multiplication.Modular form 379050.2.a.d
sage: E.q_eigenform(10)