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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 344800.j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
344800.j1 | 344800j1 | \([0, -1, 0, -758, 14012]\) | \(-48228544/53875\) | \(-53875000000\) | \([]\) | \(359424\) | \(0.75368\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 344800.j1 has rank \(0\).
Complex multiplication
The elliptic curves in class 344800.j do not have complex multiplication.Modular form 344800.2.a.j
sage: E.q_eigenform(10)