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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 28611m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
28611.b1 | 28611m1 | \([0, 0, 1, 44217, 1691300]\) | \(1880064/1331\) | \(-6768570469244859\) | \([]\) | \(176256\) | \(1.7261\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 28611m1 has rank \(1\).
Complex multiplication
The elliptic curves in class 28611m do not have complex multiplication.Modular form 28611.2.a.m
sage: E.q_eigenform(10)