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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 26026.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
26026.c1 | 26026h1 | \([1, 1, 0, -758137, 742898213]\) | \(-1687307648503512841/7378390452156416\) | \(-210734209704039397376\) | \([]\) | \(718080\) | \(2.5847\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 26026.c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 26026.c do not have complex multiplication.Modular form 26026.2.a.c
sage: E.q_eigenform(10)