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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 5520s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
5520.m1 | 5520s1 | \([0, -1, 0, -845, -12975]\) | \(-260956266496/145546875\) | \(-37260000000\) | \([]\) | \(5376\) | \(0.73178\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 5520s1 has rank \(1\).
Complex multiplication
The elliptic curves in class 5520s do not have complex multiplication.Modular form 5520.2.a.s
sage: E.q_eigenform(10)