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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 37830.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
37830.e1 | 37830i1 | \([1, 1, 0, -32, 564]\) | \(-3803721481/141862500\) | \(-141862500\) | \([]\) | \(19200\) | \(0.24441\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 37830.e1 has rank \(2\).
Complex multiplication
The elliptic curves in class 37830.e do not have complex multiplication.Modular form 37830.2.a.e
sage: E.q_eigenform(10)