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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 30064.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
30064.g1 | 30064h1 | \([0, -1, 0, -296, -1936]\) | \(-702595369/30064\) | \(-123142144\) | \([]\) | \(9600\) | \(0.31845\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 30064.g1 has rank \(0\).
Complex multiplication
The elliptic curves in class 30064.g do not have complex multiplication.Modular form 30064.2.a.g
sage: E.q_eigenform(10)