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SageMath
E = EllipticCurve("hp1")
E.isogeny_class()
Elliptic curves in class 103488.hp
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
103488.hp1 | 103488du1 | \([0, 1, 0, -325425, -74115273]\) | \(-31636584484096/1331669031\) | \(-160429598543993856\) | \([]\) | \(1105920\) | \(2.0680\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 103488.hp1 has rank \(0\).
Complex multiplication
The elliptic curves in class 103488.hp do not have complex multiplication.Modular form 103488.2.a.hp
sage: E.q_eigenform(10)