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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 141570.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
141570.a1 | 141570dm1 | \([1, -1, 0, 568983420, -2516187930800]\) | \(15773893582068027616679/11245977600000000000\) | \(-14523819850491494400000000000\) | \([]\) | \(171494400\) | \(4.0922\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 141570.a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 141570.a do not have complex multiplication.Modular form 141570.2.a.a
sage: E.q_eigenform(10)