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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 83391.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
83391.h1 | 83391a1 | \([0, -1, 1, -571583, 166459610]\) | \(1216000000000/505197\) | \(8580045097624077\) | \([]\) | \(590976\) | \(2.0192\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 83391.h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 83391.h do not have complex multiplication.Modular form 83391.2.a.h
sage: E.q_eigenform(10)