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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 101478l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
101478.i1 | 101478l1 | \([1, 0, 0, 163, -8271]\) | \(478762350767/29927079936\) | \(-29927079936\) | \([]\) | \(122880\) | \(0.68979\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 101478l1 has rank \(2\).
Complex multiplication
The elliptic curves in class 101478l do not have complex multiplication.Modular form 101478.2.a.l
sage: E.q_eigenform(10)