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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 200277k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
200277.n1 | 200277k1 | \([1, -1, 1, -131, -952]\) | \(-68921/77\) | \(-275781429\) | \([]\) | \(76800\) | \(0.31412\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 200277k1 has rank \(0\).
Complex multiplication
The elliptic curves in class 200277k do not have complex multiplication.Modular form 200277.2.a.k
sage: E.q_eigenform(10)