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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 3630e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
3630.e1 | 3630e1 | \([1, 1, 0, -3632, -78294]\) | \(24729001/2430\) | \(520892080830\) | \([]\) | \(5280\) | \(0.98512\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 3630e1 has rank \(1\).
Complex multiplication
The elliptic curves in class 3630e do not have complex multiplication.Modular form 3630.2.a.e
sage: E.q_eigenform(10)