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SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 380880.x
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
380880.x1 | 380880x1 | \([0, 0, 0, -18768, 989552]\) | \(462843904/45\) | \(71081349120\) | \([]\) | \(491520\) | \(1.1180\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 380880.x1 has rank \(0\).
Complex multiplication
The elliptic curves in class 380880.x do not have complex multiplication.Modular form 380880.2.a.x
sage: E.q_eigenform(10)