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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 38646.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
38646.e1 | 38646a1 | \([1, -1, 0, -938733, 356038821]\) | \(-3388335951737767194891/64702786021471744\) | \(-1746975222579737088\) | \([]\) | \(648000\) | \(2.2946\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 38646.e1 has rank \(1\).
Complex multiplication
The elliptic curves in class 38646.e do not have complex multiplication.Modular form 38646.2.a.e
sage: E.q_eigenform(10)