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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 5010c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
5010.d1 | 5010c1 | \([1, 0, 1, -294, 1912]\) | \(-2796665386969/1923840\) | \(-1923840\) | \([]\) | \(1920\) | \(0.14312\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 5010c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 5010c do not have complex multiplication.Modular form 5010.2.a.c
sage: E.q_eigenform(10)