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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 5070.p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
5070.p1 | 5070n1 | \([1, 1, 1, 39939, 1301139]\) | \(41689615345255319/28343520000000\) | \(-4790054880000000\) | \([]\) | \(40656\) | \(1.6974\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 5070.p1 has rank \(0\).
Complex multiplication
The elliptic curves in class 5070.p do not have complex multiplication.Modular form 5070.2.a.p
sage: E.q_eigenform(10)