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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 38440.j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
38440.j1 | 38440l1 | \([0, 1, 0, -24345, -2051557]\) | \(-7023616/3875\) | \(-880403651552000\) | \([]\) | \(92160\) | \(1.5711\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 38440.j1 has rank \(0\).
Complex multiplication
The elliptic curves in class 38440.j do not have complex multiplication.Modular form 38440.2.a.j
sage: E.q_eigenform(10)