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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 4544j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
4544.a1 | 4544j1 | \([0, 0, 0, -168076, 26412784]\) | \(2003092024307193/9529458688\) | \(2498090418307072\) | \([]\) | \(62208\) | \(1.8038\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 4544j1 has rank \(0\).
Complex multiplication
The elliptic curves in class 4544j do not have complex multiplication.Modular form 4544.2.a.j
sage: E.q_eigenform(10)