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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 3330.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
3330.e1 | 3330h1 | \([1, -1, 0, -7785, 266341]\) | \(-71581931663761/199800\) | \(-145654200\) | \([]\) | \(3456\) | \(0.79863\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 3330.e1 has rank \(1\).
Complex multiplication
The elliptic curves in class 3330.e do not have complex multiplication.Modular form 3330.2.a.e
sage: E.q_eigenform(10)