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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 38115.p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
38115.p1 | 38115r1 | \([0, 0, 1, 593142, 91734849]\) | \(17869652393984/13156171875\) | \(-16990774571221171875\) | \([]\) | \(752640\) | \(2.3782\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 38115.p1 has rank \(0\).
Complex multiplication
The elliptic curves in class 38115.p do not have complex multiplication.Modular form 38115.2.a.p
sage: E.q_eigenform(10)