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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 10320j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
10320.t1 | 10320j1 | \([0, 1, 0, 5504, -882220]\) | \(9002230481662/170068359375\) | \(-348300000000000\) | \([]\) | \(42240\) | \(1.4708\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 10320j1 has rank \(0\).
Complex multiplication
The elliptic curves in class 10320j do not have complex multiplication.Modular form 10320.2.a.j
sage: E.q_eigenform(10)