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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 41070q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
41070.n1 | 41070q1 | \([1, 0, 1, 1607177, -1484902222]\) | \(3532642667/9375000\) | \(-1218391310578846875000\) | \([]\) | \(2301696\) | \(2.7296\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 41070q1 has rank \(0\).
Complex multiplication
The elliptic curves in class 41070q do not have complex multiplication.Modular form 41070.2.a.q
sage: E.q_eigenform(10)