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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 71148.v
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
71148.v1 | 71148p1 | \([0, -1, 0, -10116850, -12382486367]\) | \(-34339609640704/916839\) | \(-3057436264614698736\) | \([]\) | \(2073600\) | \(2.6519\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 71148.v1 has rank \(0\).
Complex multiplication
The elliptic curves in class 71148.v do not have complex multiplication.Modular form 71148.2.a.v
sage: E.q_eigenform(10)