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SageMath
E = EllipticCurve("kb1")
E.isogeny_class()
Elliptic curves in class 84672kb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
84672.ia1 | 84672kb1 | \([0, 0, 0, -294, 2058]\) | \(-13824\) | \(-203297472\) | \([]\) | \(31680\) | \(0.34378\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 84672kb1 has rank \(0\).
Complex multiplication
The elliptic curves in class 84672kb do not have complex multiplication.Modular form 84672.2.a.kb
sage: E.q_eigenform(10)