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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 146072.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
146072.a1 | 146072f1 | \([0, -1, 0, -8008, 397676]\) | \(-31250/19\) | \(-34534543235072\) | \([]\) | \(241920\) | \(1.2998\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 146072.a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 146072.a do not have complex multiplication.Modular form 146072.2.a.a
sage: E.q_eigenform(10)