Show commands:
SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 29400.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
29400.d1 | 29400c1 | \([0, -1, 0, -132708, 19451412]\) | \(-43061200/2187\) | \(-13127467500000000\) | \([]\) | \(322560\) | \(1.8533\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 29400.d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 29400.d do not have complex multiplication.Modular form 29400.2.a.d
sage: E.q_eigenform(10)