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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 131043e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
131043.g1 | 131043e1 | \([1, 0, 0, 916391, -4734061870]\) | \(2828663/323433\) | \(-9731263841567369864433\) | \([]\) | \(9849600\) | \(2.8985\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 131043e1 has rank \(1\).
Complex multiplication
The elliptic curves in class 131043e do not have complex multiplication.Modular form 131043.2.a.e
sage: E.q_eigenform(10)