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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 6048h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
6048.r1 | 6048h1 | \([0, 0, 0, -12, -128]\) | \(-192/7\) | \(-6967296\) | \([]\) | \(768\) | \(-0.0067095\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 6048h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 6048h do not have complex multiplication.Modular form 6048.2.a.h
sage: E.q_eigenform(10)