Show commands:
SageMath
E = EllipticCurve("db1")
E.isogeny_class()
Elliptic curves in class 76440.db
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
76440.db1 | 76440bq1 | \([0, 1, 0, 320, -400]\) | \(71997884/43875\) | \(-2201472000\) | \([]\) | \(44928\) | \(0.48190\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 76440.db1 has rank \(1\).
Complex multiplication
The elliptic curves in class 76440.db do not have complex multiplication.Modular form 76440.2.a.db
sage: E.q_eigenform(10)