Show commands:
SageMath
E = EllipticCurve("tf1")
E.isogeny_class()
Elliptic curves in class 369600tf
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
369600.tf1 | 369600tf1 | \([0, 1, 0, -574133, -167678637]\) | \(-81756451446784/24958395\) | \(-6389349120000000\) | \([]\) | \(3317760\) | \(2.0099\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 369600tf1 has rank \(0\).
Complex multiplication
The elliptic curves in class 369600tf do not have complex multiplication.Modular form 369600.2.a.tf
sage: E.q_eigenform(10)