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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 83391.m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
83391.m1 | 83391q1 | \([0, 1, 1, -1925, -24712]\) | \(16777216/4389\) | \(206484371709\) | \([]\) | \(74880\) | \(0.88000\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 83391.m1 has rank \(0\).
Complex multiplication
The elliptic curves in class 83391.m do not have complex multiplication.Modular form 83391.2.a.m
sage: E.q_eigenform(10)