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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 67158s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
67158.g1 | 67158s1 | \([1, -1, 0, -1485, 16249]\) | \(496981290961/138211164\) | \(100755938556\) | \([]\) | \(79872\) | \(0.81861\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 67158s1 has rank \(2\).
Complex multiplication
The elliptic curves in class 67158s do not have complex multiplication.Modular form 67158.2.a.s
sage: E.q_eigenform(10)