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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 5544s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
5544.o1 | 5544s1 | \([0, 0, 0, -12, -5308]\) | \(-1024/65219\) | \(-12171430656\) | \([]\) | \(2880\) | \(0.61409\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 5544s1 has rank \(0\).
Complex multiplication
The elliptic curves in class 5544s do not have complex multiplication.Modular form 5544.2.a.s
sage: E.q_eigenform(10)