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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 32368m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
32368.b1 | 32368m1 | \([0, 0, 0, -1586899, -746844782]\) | \(53520777/1792\) | \(14797459741100474368\) | \([]\) | \(1645056\) | \(2.4511\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 32368m1 has rank \(0\).
Complex multiplication
The elliptic curves in class 32368m do not have complex multiplication.Modular form 32368.2.a.m
sage: E.q_eigenform(10)