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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 13260.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
13260.a1 | 13260e1 | \([0, -1, 0, -86, -339]\) | \(-4447738624/1077375\) | \(-17238000\) | \([]\) | \(4320\) | \(0.10709\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 13260.a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 13260.a do not have complex multiplication.Modular form 13260.2.a.a
sage: E.q_eigenform(10)