Show commands:
SageMath
E = EllipticCurve("hl1")
E.isogeny_class()
Elliptic curves in class 479808hl
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
479808.hl1 | 479808hl1 | \([0, 0, 0, -94668, -3111696]\) | \(9198252/4913\) | \(50115812881268736\) | \([]\) | \(2580480\) | \(1.8957\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 479808hl1 has rank \(1\).
Complex multiplication
The elliptic curves in class 479808hl do not have complex multiplication.Modular form 479808.2.a.hl
sage: E.q_eigenform(10)