Show commands:
SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 38440.i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
38440.i1 | 38440b1 | \([0, 1, 0, -6920481, 7061598275]\) | \(-161332732109824/1513671875\) | \(-343907676387500000000\) | \([]\) | \(1013760\) | \(2.7621\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 38440.i1 has rank \(0\).
Complex multiplication
The elliptic curves in class 38440.i do not have complex multiplication.Modular form 38440.2.a.i
sage: E.q_eigenform(10)