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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 200277j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
200277.j1 | 200277j1 | \([1, -1, 1, -1355, 16116]\) | \(4515625/847\) | \(51571127223\) | \([]\) | \(120960\) | \(0.77341\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 200277j1 has rank \(2\).
Complex multiplication
The elliptic curves in class 200277j do not have complex multiplication.Modular form 200277.2.a.j
sage: E.q_eigenform(10)