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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 15680i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
15680.cg1 | 15680i1 | \([0, 1, 0, -3201, 467039]\) | \(-196/5\) | \(-92561489592320\) | \([]\) | \(32256\) | \(1.3605\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 15680i1 has rank \(0\).
Complex multiplication
The elliptic curves in class 15680i do not have complex multiplication.Modular form 15680.2.a.i
sage: E.q_eigenform(10)