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SageMath
E = EllipticCurve("hp1")
E.isogeny_class()
Elliptic curves in class 297024hp
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
297024.hp1 | 297024hp1 | \([0, 1, 0, -11649, 480069]\) | \(-2731787761881088/19171971\) | \(-1227006144\) | \([]\) | \(330240\) | \(0.92336\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 297024hp1 has rank \(1\).
Complex multiplication
The elliptic curves in class 297024hp do not have complex multiplication.Modular form 297024.2.a.hp
sage: E.q_eigenform(10)