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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 10320q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
10320.d1 | 10320q1 | \([0, -1, 0, 81064, 305860080]\) | \(14382768678616871/9876709319915520\) | \(-40455001374373969920\) | \([]\) | \(253440\) | \(2.4413\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 10320q1 has rank \(1\).
Complex multiplication
The elliptic curves in class 10320q do not have complex multiplication.Modular form 10320.2.a.q
sage: E.q_eigenform(10)