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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 5610.l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
5610.l1 | 5610o1 | \([1, 0, 1, -91939, -29111074]\) | \(-85944135790429956649/316171526414008320\) | \(-316171526414008320\) | \([]\) | \(73440\) | \(2.0437\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 5610.l1 has rank \(1\).
Complex multiplication
The elliptic curves in class 5610.l do not have complex multiplication.Modular form 5610.2.a.l
sage: E.q_eigenform(10)