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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 68970p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
68970.i1 | 68970p1 | \([1, 1, 0, -28007872, 57237247456]\) | \(-11335027914992789161/45438205500000\) | \(-9740082885628045500000\) | \([]\) | \(8870400\) | \(3.0760\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 68970p1 has rank \(1\).
Complex multiplication
The elliptic curves in class 68970p do not have complex multiplication.Modular form 68970.2.a.p
sage: E.q_eigenform(10)