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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 456304.l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
456304.l1 | 456304l1 | \([0, -1, 0, -20336, 1057984]\) | \(4826809/316\) | \(60893177430016\) | \([]\) | \(1257984\) | \(1.3948\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 456304.l1 has rank \(1\).
Complex multiplication
The elliptic curves in class 456304.l do not have complex multiplication.Modular form 456304.2.a.l
sage: E.q_eigenform(10)