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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 77658.l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
77658.l1 | 77658n1 | \([1, 1, 0, -179391, -26875323]\) | \(100999381393/9362304\) | \(59182522559104896\) | \([]\) | \(1034880\) | \(1.9570\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 77658.l1 has rank \(1\).
Complex multiplication
The elliptic curves in class 77658.l do not have complex multiplication.Modular form 77658.2.a.l
sage: E.q_eigenform(10)