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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 5184e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
5184.s1 | 5184e1 | \([0, 0, 0, -12, -8]\) | \(2304\) | \(82944\) | \([]\) | \(384\) | \(-0.36001\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 5184e1 has rank \(1\).
Complex multiplication
The elliptic curves in class 5184e do not have complex multiplication.Modular form 5184.2.a.e
sage: E.q_eigenform(10)