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SageMath
E = EllipticCurve("hw1")
E.isogeny_class()
Elliptic curves in class 123200.hw
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
123200.hw1 | 123200eh1 | \([0, 0, 0, 200, -250]\) | \(884736/539\) | \(-539000000\) | \([]\) | \(80640\) | \(0.36464\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 123200.hw1 has rank \(0\).
Complex multiplication
The elliptic curves in class 123200.hw do not have complex multiplication.Modular form 123200.2.a.hw
sage: E.q_eigenform(10)