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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 70805u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
70805.k1 | 70805u1 | \([0, 0, 1, -2023, 60184]\) | \(-110592/125\) | \(-1034898270875\) | \([]\) | \(241920\) | \(0.99985\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 70805u1 has rank \(0\).
Complex multiplication
The elliptic curves in class 70805u do not have complex multiplication.Modular form 70805.2.a.u
sage: E.q_eigenform(10)