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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 6468.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
6468.e1 | 6468c1 | \([0, -1, 0, -93, 393]\) | \(-7168000/363\) | \(-4553472\) | \([]\) | \(1008\) | \(0.038210\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 6468.e1 has rank \(1\).
Complex multiplication
The elliptic curves in class 6468.e do not have complex multiplication.Modular form 6468.2.a.e
sage: E.q_eigenform(10)