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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 346560.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
346560.a1 | 346560a1 | \([0, -1, 0, -198081, 34265025]\) | \(-9082538350921/82944000\) | \(-7849321168896000\) | \([]\) | \(4313088\) | \(1.8726\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 346560.a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 346560.a do not have complex multiplication.Modular form 346560.2.a.a
sage: E.q_eigenform(10)