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SageMath
E = EllipticCurve("em1")
E.isogeny_class()
Elliptic curves in class 141570em
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
141570.be1 | 141570em1 | \([1, -1, 0, -32940, 3330256]\) | \(-4073768343611/2555904000\) | \(-2479991095296000\) | \([]\) | \(787968\) | \(1.6555\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 141570em1 has rank \(0\).
Complex multiplication
The elliptic curves in class 141570em do not have complex multiplication.Modular form 141570.2.a.em
sage: E.q_eigenform(10)