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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 42384.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
42384.a1 | 42384a1 | \([0, -1, 0, -80, 336]\) | \(-55990084/7947\) | \(-8137728\) | \([]\) | \(23680\) | \(0.057013\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 42384.a1 has rank \(3\).
Complex multiplication
The elliptic curves in class 42384.a do not have complex multiplication.Modular form 42384.2.a.a
sage: E.q_eigenform(10)