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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 296208.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
296208.a1 | 296208a1 | \([0, 0, 0, 121968, -2874960]\) | \(37933056/22627\) | \(-119693499328770048\) | \([]\) | \(4608000\) | \(1.9663\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 296208.a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 296208.a do not have complex multiplication.Modular form 296208.2.a.a
sage: E.q_eigenform(10)