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SageMath
E = EllipticCurve("dc1")
E.isogeny_class()
Elliptic curves in class 139650dc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
139650.fj1 | 139650dc1 | \([1, 1, 1, -403402938, 7235492143431]\) | \(-98735339854432038328225/250451215107692352768\) | \(-18415834378878061006751520000\) | \([]\) | \(100638720\) | \(4.1114\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 139650dc1 has rank \(1\).
Complex multiplication
The elliptic curves in class 139650dc do not have complex multiplication.Modular form 139650.2.a.dc
sage: E.q_eigenform(10)