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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 55470l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
55470.n1 | 55470l1 | \([1, 0, 1, -269993, 52450556]\) | \(186222121/6000\) | \(70129201665606000\) | \([]\) | \(866880\) | \(2.0065\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 55470l1 has rank \(1\).
Complex multiplication
The elliptic curves in class 55470l do not have complex multiplication.Modular form 55470.2.a.l
sage: E.q_eigenform(10)