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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 32192l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
32192.m1 | 32192l1 | \([0, -1, 0, -13441, -595327]\) | \(-1024497361441/503\) | \(-131858432\) | \([]\) | \(51200\) | \(0.89288\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 32192l1 has rank \(0\).
Complex multiplication
The elliptic curves in class 32192l do not have complex multiplication.Modular form 32192.2.a.l
sage: E.q_eigenform(10)