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SageMath
E = EllipticCurve("ju1")
E.isogeny_class()
Elliptic curves in class 487872.ju
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
487872.ju1 | 487872ju1 | \([0, 0, 0, -25212, 1535578]\) | \(313944395776/1240029\) | \(7000429955904\) | \([]\) | \(1351680\) | \(1.3220\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 487872.ju1 has rank \(1\).
Complex multiplication
The elliptic curves in class 487872.ju do not have complex multiplication.Modular form 487872.2.a.ju
sage: E.q_eigenform(10)