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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 61347u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
61347.a1 | 61347u1 | \([0, -1, 1, 620, 912]\) | \(45056/27\) | \(-15769185003\) | \([]\) | \(82944\) | \(0.64606\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 61347u1 has rank \(2\).
Complex multiplication
The elliptic curves in class 61347u do not have complex multiplication.Modular form 61347.2.a.u
sage: E.q_eigenform(10)