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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 147015a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
147015.a1 | 147015a1 | \([0, 0, 1, 29403, -566008]\) | \(995328/625\) | \(-1765275280126875\) | \([]\) | \(907200\) | \(1.6146\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 147015a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 147015a do not have complex multiplication.Modular form 147015.2.a.a
sage: E.q_eigenform(10)