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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 16245.m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
16245.m1 | 16245h1 | \([0, 0, 1, -118047, -10593455]\) | \(1914902401024/597871125\) | \(56800153740340125\) | \([]\) | \(169344\) | \(1.9192\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 16245.m1 has rank \(1\).
Complex multiplication
The elliptic curves in class 16245.m do not have complex multiplication.Modular form 16245.2.a.m
sage: E.q_eigenform(10)