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SageMath
E = EllipticCurve("ke1")
E.isogeny_class()
Elliptic curves in class 487872ke
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
487872.ke1 | 487872ke1 | \([0, 0, 0, -1452, 95832]\) | \(-6912/77\) | \(-3771469126656\) | \([]\) | \(491520\) | \(1.0952\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 487872ke1 has rank \(0\).
Complex multiplication
The elliptic curves in class 487872ke do not have complex multiplication.Modular form 487872.2.a.ke
sage: E.q_eigenform(10)