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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 121275.p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
121275.p1 | 121275ev1 | \([0, 0, 1, 2625, 187906]\) | \(3584000/29403\) | \(-16411008796875\) | \([]\) | \(414720\) | \(1.2171\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 121275.p1 has rank \(2\).
Complex multiplication
The elliptic curves in class 121275.p do not have complex multiplication.Modular form 121275.2.a.p
sage: E.q_eigenform(10)