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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 38440f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
38440.a1 | 38440f1 | \([0, 0, 0, -36952372, 86459559364]\) | \(-24560689104608256/93096875\) | \(-21151697728536800000\) | \([]\) | \(3225600\) | \(2.9227\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 38440f1 has rank \(1\).
Complex multiplication
The elliptic curves in class 38440f do not have complex multiplication.Modular form 38440.2.a.f
sage: E.q_eigenform(10)