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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 14586.l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
14586.l1 | 14586i1 | \([1, 1, 1, 225, 1059]\) | \(1259362112399/1131450606\) | \(-1131450606\) | \([]\) | \(7296\) | \(0.42461\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 14586.l1 has rank \(1\).
Complex multiplication
The elliptic curves in class 14586.l do not have complex multiplication.Modular form 14586.2.a.l
sage: E.q_eigenform(10)