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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 100023.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
100023.e1 | 100023a1 | \([0, -1, 1, -672, 7841]\) | \(-33610706587648/5614591059\) | \(-5614591059\) | \([]\) | \(99456\) | \(0.59771\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 100023.e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 100023.e do not have complex multiplication.Modular form 100023.2.a.e
sage: E.q_eigenform(10)