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SageMath
E = EllipticCurve("ej1")
E.isogeny_class()
Elliptic curves in class 39600.ej
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
39600.ej1 | 39600cm1 | \([0, 0, 0, -75, -1350]\) | \(-675/11\) | \(-760320000\) | \([]\) | \(12288\) | \(0.38537\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 39600.ej1 has rank \(1\).
Complex multiplication
The elliptic curves in class 39600.ej do not have complex multiplication.Modular form 39600.2.a.ej
sage: E.q_eigenform(10)