Show commands:
SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 133200.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
133200.d1 | 133200bm1 | \([0, 0, 0, -3360, 75260]\) | \(-899153920/4107\) | \(-19161619200\) | \([]\) | \(156672\) | \(0.82426\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 133200.d1 has rank \(2\).
Complex multiplication
The elliptic curves in class 133200.d do not have complex multiplication.Modular form 133200.2.a.d
sage: E.q_eigenform(10)