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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 15210.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
15210.c1 | 15210k1 | \([1, -1, 0, -203085, -83740955]\) | \(-1557701041/4199040\) | \(-2497033440570015360\) | \([]\) | \(279552\) | \(2.2176\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 15210.c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 15210.c do not have complex multiplication.Modular form 15210.2.a.c
sage: E.q_eigenform(10)