Show commands:
SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 55470j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
55470.l1 | 55470j1 | \([1, 0, 1, -383, 3026]\) | \(-77854483/5760\) | \(-457960320\) | \([]\) | \(24640\) | \(0.41078\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 55470j1 has rank \(1\).
Complex multiplication
The elliptic curves in class 55470j do not have complex multiplication.Modular form 55470.2.a.j
sage: E.q_eigenform(10)