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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 702.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
702.e1 | 702a1 | \([1, -1, 0, -9, -19]\) | \(-3176523/5408\) | \(-146016\) | \([]\) | \(120\) | \(-0.31841\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 702.e1 has rank \(1\).
Complex multiplication
The elliptic curves in class 702.e do not have complex multiplication.Modular form 702.2.a.e
sage: E.q_eigenform(10)