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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 43350e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
43350.n1 | 43350e1 | \([1, 1, 0, -83564500, 293997394000]\) | \(-2048707405729/76800\) | \(-2419192680538800000000\) | \([]\) | \(6462720\) | \(3.1896\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 43350e1 has rank \(1\).
Complex multiplication
The elliptic curves in class 43350e do not have complex multiplication.Modular form 43350.2.a.e
sage: E.q_eigenform(10)