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SageMath
E = EllipticCurve("ic1")
E.isogeny_class()
Elliptic curves in class 277440ic
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
277440.ic1 | 277440ic1 | \([0, 1, 0, -3105, 156735]\) | \(-43713001/116640\) | \(-8836601610240\) | \([]\) | \(414720\) | \(1.1716\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 277440ic1 has rank \(1\).
Complex multiplication
The elliptic curves in class 277440ic do not have complex multiplication.Modular form 277440.2.a.ic
sage: E.q_eigenform(10)