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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 30064.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
30064.a1 | 30064c1 | \([0, 1, 0, -152, 676]\) | \(-381775972/1879\) | \(-1924096\) | \([]\) | \(10752\) | \(0.053912\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 30064.a1 has rank \(3\).
Complex multiplication
The elliptic curves in class 30064.a do not have complex multiplication.Modular form 30064.2.a.a
sage: E.q_eigenform(10)