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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 338437e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
338437.e1 | 338437e1 | \([0, 0, 1, -3751, -80193]\) | \(3294646272/338437\) | \(599561790157\) | \([]\) | \(1635840\) | \(0.99548\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 338437e1 has rank \(1\).
Complex multiplication
The elliptic curves in class 338437e do not have complex multiplication.Modular form 338437.2.a.e
sage: E.q_eigenform(10)