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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 71478.i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
71478.i1 | 71478v1 | \([1, -1, 0, -24435, -942791]\) | \(130321/44\) | \(544764768103116\) | \([]\) | \(328320\) | \(1.5299\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 71478.i1 has rank \(1\).
Complex multiplication
The elliptic curves in class 71478.i do not have complex multiplication.Modular form 71478.2.a.i
sage: E.q_eigenform(10)