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SageMath
E = EllipticCurve("dl1")
E.isogeny_class()
Elliptic curves in class 121680.dl
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
121680.dl1 | 121680bq1 | \([0, 0, 0, -160212, 37849916]\) | \(-504871936/394875\) | \(-355702769311968000\) | \([]\) | \(1290240\) | \(2.0664\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 121680.dl1 has rank \(1\).
Complex multiplication
The elliptic curves in class 121680.dl do not have complex multiplication.Modular form 121680.2.a.dl
sage: E.q_eigenform(10)