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SageMath
E = EllipticCurve("hs1")
E.isogeny_class()
Elliptic curves in class 88200.hs
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
88200.hs1 | 88200cz1 | \([0, 0, 0, -4542300, 3838684500]\) | \(-30211716096/1071875\) | \(-367722243787500000000\) | \([]\) | \(3870720\) | \(2.7184\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 88200.hs1 has rank \(1\).
Complex multiplication
The elliptic curves in class 88200.hs do not have complex multiplication.Modular form 88200.2.a.hs
sage: E.q_eigenform(10)