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SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 32200.r
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
32200.r1 | 32200t1 | \([0, 1, 0, -23408, 1373813]\) | \(-5674076449024/14904575\) | \(-3726143750000\) | \([]\) | \(64512\) | \(1.2875\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 32200.r1 has rank \(1\).
Complex multiplication
The elliptic curves in class 32200.r do not have complex multiplication.Modular form 32200.2.a.r
sage: E.q_eigenform(10)