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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 71148s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
71148.p1 | 71148s1 | \([0, -1, 0, -821, 9297]\) | \(5767168/27\) | \(286868736\) | \([]\) | \(27648\) | \(0.47280\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 71148s1 has rank \(2\).
Complex multiplication
The elliptic curves in class 71148s do not have complex multiplication.Modular form 71148.2.a.s
sage: E.q_eigenform(10)