Show commands:
SageMath
E = EllipticCurve("hp1")
E.isogeny_class()
Elliptic curves in class 88200hp
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
88200.el1 | 88200hp1 | \([0, 0, 0, -16574250, 26532183125]\) | \(-46028377077760/1162261467\) | \(-12714624695454018750000\) | \([]\) | \(4377600\) | \(3.0255\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 88200hp1 has rank \(0\).
Complex multiplication
The elliptic curves in class 88200hp do not have complex multiplication.Modular form 88200.2.a.hp
sage: E.q_eigenform(10)