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SageMath
E = EllipticCurve("cc1")
E.isogeny_class()
Elliptic curves in class 302640cc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
302640.cc1 | 302640cc1 | \([0, 1, 0, -517496, 143925204]\) | \(-3741843290232306169/24550156800000\) | \(-100557442252800000\) | \([]\) | \(4700160\) | \(2.0985\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 302640cc1 has rank \(1\).
Complex multiplication
The elliptic curves in class 302640cc do not have complex multiplication.Modular form 302640.2.a.cc
sage: E.q_eigenform(10)