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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 43681.m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
43681.m1 | 43681f1 | \([0, 0, 1, 3971, -207485]\) | \(110592/361\) | \(-22605122407571\) | \([]\) | \(311040\) | \(1.2456\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 43681.m1 has rank \(0\).
Complex multiplication
The elliptic curves in class 43681.m do not have complex multiplication.Modular form 43681.2.a.m
sage: E.q_eigenform(10)