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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 3330.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
3330.a1 | 3330a1 | \([1, -1, 0, 930, -4204]\) | \(4516672077/2960000\) | \(-58261680000\) | \([]\) | \(2688\) | \(0.75452\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 3330.a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 3330.a do not have complex multiplication.Modular form 3330.2.a.a
sage: E.q_eigenform(10)