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SageMath
E = EllipticCurve("hs1")
E.isogeny_class()
Elliptic curves in class 284592.hs
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
284592.hs1 | 284592hs1 | \([0, 1, 0, -20841, 791811]\) | \(274717696/83349\) | \(303748379294976\) | \([]\) | \(1105920\) | \(1.4840\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 284592.hs1 has rank \(2\).
Complex multiplication
The elliptic curves in class 284592.hs do not have complex multiplication.Modular form 284592.2.a.hs
sage: E.q_eigenform(10)