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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 372544.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
372544.a1 | 372544a1 | \([0, 0, 0, -1036, -12272]\) | \(469097433/23284\) | \(6103760896\) | \([]\) | \(887808\) | \(0.63668\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 372544.a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 372544.a do not have complex multiplication.Modular form 372544.2.a.a
sage: E.q_eigenform(10)