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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 211600.l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
211600.l1 | 211600cv1 | \([0, 1, 0, -110208, 13865188]\) | \(1562500/23\) | \(2179088286080000\) | \([]\) | \(1622016\) | \(1.7463\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 211600.l1 has rank \(1\).
Complex multiplication
The elliptic curves in class 211600.l do not have complex multiplication.Modular form 211600.2.a.l
sage: E.q_eigenform(10)