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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 930.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
930.a1 | 930b1 | \([1, 1, 0, -203, -1347]\) | \(-932288503609/148800000\) | \(-148800000\) | \([]\) | \(360\) | \(0.29627\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 930.a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 930.a do not have complex multiplication.Modular form 930.2.a.a
sage: E.q_eigenform(10)