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SageMath
E = EllipticCurve("hw1")
E.isogeny_class()
Elliptic curves in class 277200hw
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
277200.hw1 | 277200hw1 | \([0, 0, 0, -1291800, 565269500]\) | \(-81756451446784/24958395\) | \(-72778679820000000\) | \([]\) | \(3317760\) | \(2.2127\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 277200hw1 has rank \(2\).
Complex multiplication
The elliptic curves in class 277200hw do not have complex multiplication.Modular form 277200.2.a.hw
sage: E.q_eigenform(10)