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SageMath
E = EllipticCurve("hb1")
E.isogeny_class()
Elliptic curves in class 88200.hb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
88200.hb1 | 88200cj1 | \([0, 0, 0, 105, -245]\) | \(1280\) | \(-100018800\) | \([]\) | \(18432\) | \(0.22307\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 88200.hb1 has rank \(1\).
Complex multiplication
The elliptic curves in class 88200.hb do not have complex multiplication.Modular form 88200.2.a.hb
sage: E.q_eigenform(10)