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SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 67158.r
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
67158.r1 | 67158f1 | \([1, -1, 0, -3498868644, 79660744553456]\) | \(-240666329650344616245541600467/13684675140196339552\) | \(-269355460784484551402016\) | \([]\) | \(36028800\) | \(3.9624\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 67158.r1 has rank \(0\).
Complex multiplication
The elliptic curves in class 67158.r do not have complex multiplication.Modular form 67158.2.a.r
sage: E.q_eigenform(10)