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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 321552.m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
321552.m1 | 321552m1 | \([0, 0, 0, -342219, -77142854]\) | \(-1484391946907017/1946200179\) | \(-5811322595291136\) | \([]\) | \(3072000\) | \(1.9317\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 321552.m1 has rank \(1\).
Complex multiplication
The elliptic curves in class 321552.m do not have complex multiplication.Modular form 321552.2.a.m
sage: E.q_eigenform(10)