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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 348726.l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
348726.l1 | 348726l1 | \([1, 0, 1, -169298, 26803712]\) | \(-1486511609895848881/394135899948\) | \(-142283059881228\) | \([]\) | \(3931200\) | \(1.7000\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 348726.l1 has rank \(2\).
Complex multiplication
The elliptic curves in class 348726.l do not have complex multiplication.Modular form 348726.2.a.l
sage: E.q_eigenform(10)