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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 71487s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
71487.b1 | 71487s1 | \([0, 0, 1, -18759, -375138]\) | \(207474688/102789\) | \(361688152449429\) | \([]\) | \(516096\) | \(1.4865\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 71487s1 has rank \(1\).
Complex multiplication
The elliptic curves in class 71487s do not have complex multiplication.Modular form 71487.2.a.s
sage: E.q_eigenform(10)