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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 156702.l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
156702.l1 | 156702cv1 | \([1, 1, 0, -122917, -16655603]\) | \(-1745729089577929/2114671104\) | \(-248788940714496\) | \([]\) | \(870912\) | \(1.6728\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 156702.l1 has rank \(1\).
Complex multiplication
The elliptic curves in class 156702.l do not have complex multiplication.Modular form 156702.2.a.l
sage: E.q_eigenform(10)