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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 44400.j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
44400.j1 | 44400bh1 | \([0, -1, 0, 2292, -393588]\) | \(532400/26973\) | \(-67432500000000\) | \([]\) | \(103680\) | \(1.3332\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 44400.j1 has rank \(1\).
Complex multiplication
The elliptic curves in class 44400.j do not have complex multiplication.Modular form 44400.2.a.j
sage: E.q_eigenform(10)