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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 106722.l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
106722.l1 | 106722bl1 | \([1, -1, 0, 1314, 152158]\) | \(107653/4374\) | \(-10190054870226\) | \([]\) | \(322560\) | \(1.1759\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 106722.l1 has rank \(2\).
Complex multiplication
The elliptic curves in class 106722.l do not have complex multiplication.Modular form 106722.2.a.l
sage: E.q_eigenform(10)