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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 32487.m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
32487.m1 | 32487a1 | \([0, -1, 1, -702, 7391]\) | \(15957372928/17901\) | \(42980301\) | \([]\) | \(16896\) | \(0.37871\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 32487.m1 has rank \(1\).
Complex multiplication
The elliptic curves in class 32487.m do not have complex multiplication.Modular form 32487.2.a.m
sage: E.q_eigenform(10)