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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 327795.m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
327795.m1 | 327795m1 | \([0, -1, 1, -111506, -22477663]\) | \(-32278933504/27421875\) | \(-130256764733671875\) | \([]\) | \(5654880\) | \(1.9816\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 327795.m1 has rank \(0\).
Complex multiplication
The elliptic curves in class 327795.m do not have complex multiplication.Modular form 327795.2.a.m
sage: E.q_eigenform(10)