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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 110670.l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
110670.l1 | 110670m1 | \([1, 1, 0, -3307, 71869]\) | \(-4001579756065081/2007996480\) | \(-2007996480\) | \([]\) | \(120960\) | \(0.73762\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 110670.l1 has rank \(1\).
Complex multiplication
The elliptic curves in class 110670.l do not have complex multiplication.Modular form 110670.2.a.l
sage: E.q_eigenform(10)