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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 111573t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
111573.p1 | 111573t1 | \([1, -1, 1, -106222577, 421406015118]\) | \(4505721246665691247/253\) | \(7442698214259\) | \([]\) | \(6773760\) | \(2.8580\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 111573t1 has rank \(1\).
Complex multiplication
The elliptic curves in class 111573t do not have complex multiplication.Modular form 111573.2.a.t
sage: E.q_eigenform(10)