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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 38646l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
38646.h1 | 38646l1 | \([1, -1, 0, -3771, 89725]\) | \(8136367582897/37563912\) | \(27384091848\) | \([]\) | \(37632\) | \(0.85329\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 38646l1 has rank \(1\).
Complex multiplication
The elliptic curves in class 38646l do not have complex multiplication.Modular form 38646.2.a.l
sage: E.q_eigenform(10)